The French and the Quapaw were on very good terms with each other and were able to ally themselves together because:
After the French reached the Quapaw villages in the 17th century, they became very friendly with each other because the Quapaw realized the value of being allied with Europeans.
As the Spanish were close to the area and the Quapaw were not friendly with the Spanish, they decided that it would be best to ally with the French to keep the Spanish away.
The French also had the same thought and so were amiable to an alliance.
We can then conclude that both the French and the Quapaw allied in order to oppose the Spanish.
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