The power supply on the HP is only 240W, what to do? I could just give up and use the GT210, I'd have a nice Mac to pay with but not a lot else...
The reason that the GTX 1050 Ti graphics card maker lists the minimum wattage requirement as 300W is because the majority of SFX and ATX power supplies designed for consumer builds start at that 300W rating.
https://www.newegg.com/Product/Product.aspx?Item=N82E16817256175
It's not because the card will not work with any PSU of a lower wattage rating. There's no reason to suggest using a 250W ATX PSU if you can't even buy one for a build today. It also gives a "margin of error factor" becuase of greater power demands from other parts of a custom build, more ram, hard drives, fans, lights etc. When you look for an ATX 12V PSU on Newegg the majority of lower end models are 300 to 350W.
https://www.newegg.com/Product/ProductList.aspx?Submit=ENE&IsNodeId=1&N=100007657 600014002 600014014
It used to be that discrete graphics cards that you could game with were only used in custom PC builds until the GTX 750 Ti came along in 2014. That was not intended for OEM business desktops but due to Youtube videos younger gamers without a lot of money found out it would work in refurb business desktops and give a decent gaming experience. So they now get a 3-5 y.o. Core i5 desktop for 80-150 dollars and add in the 750 Ti or newer 1050 Ti to have a decent gaming rig for a small amount of money.
If you look through the HP 6300/8300 guide you will see many people are already using a 1050 Ti with that HP SFF desktop. That also has the exact same 240W PSU made by HP. The 1050 or 1050 Ti only draws about 70w max from the PCI-e x16 slot on the HP motherboard. Even if you upgrade the CPU to an i7-2600 and install a 1050 Ti gfx card, you will not draw more than about 140W of power from the wall, even when maxing out your HP 8200 with stress testing or gaming. That gives you a 100W safety margin and not much to worry about. These are very efficient, high quality power supplies as the HP Pro and Elite lines sold for 1,200 to 1,600 USD when new. They came with 3-4 year hardware warranties. Putting junk 240W power supplies in them would only cause them to lose a lot of money for warranty PSU replacements at their expense.
No one, in any threads I've seen, have reported any problems using their 1050 Ti with that PSU. So you can thank Nvidia for making their Pascal cards so efficient that they will work with these older HP desktops.
Start here:
https://www.tonymacx86.com/threads/...ffordable-customac.224812/page-2#post-1529466 scroll through the posts and see how many are using a 1050 Ti with the exact same 240W PSU that is in the HP 6200. (I'd estimate about 50%) Even those that have the MT version and a 320W PSU only use power drawn from the motherboard slot, not additional 6 pin power adapters.
Note that you have to get the LP (low profile version) of the 1050 Ti and also install the web drivers for it to work properly.
If that doesn't convince you enough that a 1050 Ti will work, watch this video and see the results.