Finding the Third Proportional to 217.31 and 321.94
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Solution
The third proportional to 217.31 and 321.94 is: 476.93
Step by Step Solution
- Step 1: Write the proportion equation
217.31 : 321.94 = 321.94 : x - Step 2: Convert to fraction form
217.31/321.94 = 321.94/x - Step 3: Cross multiply
217.31x = 321.94 × 321.94 - Step 4: Simplify right side
217.31x = 103,643.75 - Step 5: Solve for x
x = 103,643.75/217.31 - Step 6: Final answer
x = 476.93
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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.