My experience with propane companies is that they are clueless. My experience says they think 3/8" copper at low pressure works for everything!I need to call more propane companies to get their thoughts on the length I'm at but everything I've seen online says the max hose length is generally 150'.
The line from the tank to the shop can be virtually any length you are willing to pay for. The line pressure can be 10 PSI and regulated it down at the shop.
150 feet of 3/8" OD copper at 10 PSI will get you 130,000 BTU.
I would run larger, probably 1/2" poly underground for gas. You can run much farther. The sizing chart I just looked at goes up to 400 feet. There is no general length. There is no limit to the length, but it depends on the BTU needed and size of pipe or tubing.
I used to do maintenance in a manufacturing plant. They used LPG for heat and manufacturing processes and the tank was probably 2,500 feet away. I never measured it, but it was several city blocks. It could have been over 2,500 feet.
Line size is only limited by you bank account.