Has anyone ever seen a Three's Company
compendium, listing every episode in
synopsis fashion ??? help !
How many episodes WERE there ??

There were 172 half hour episodes of Three's Company, but two episodes of The Ropers air as Three's Company episodes, boosting the number to 174.
Also, it's spinoffs:

The Ropers-28 Eps., 26 episodes in syndication

Three's A Crowd- 22 Episodes

The totle: 222 half hour segments of cool, 70's/80's Entertainment.

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Jack: I'm surprised at you. Where would all the great women of history be if they thought like that!? Look at Joan of Ark and wht she accomplished. And, and Florence Nightengale and Madam Curry.
Chrissy: And Lucretia Borzok.
Janet: She posioned people.
Chrissy: Yeah, but she was very goo at it.