Here is the vital size of most animals we hunt in this country.
Quote:
Vital Size:
• Pronghorn antelope = 8.5"-9"
• Small deer = 8.5"-9"
• Medium size deer = 10"-11"
• Large deer = 11"-12"
• North American wild sheep = 12"-13"
• Mountain goat = 13"-14.5"
• Caribou = 14.5"-15.5"
• Elk = 14.5"-15.5"
• Moose = 18"-21.5"
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Assuming the smallest animal, if you can hold 4 inchs off hand (which is hard to do) you're good to 200 yards.
If you get some sort of rest, prone, kneeling, etc and cut your hold to 2 inches you can extend that range to about 400. In my opinion there is no need to hunt further then that.