Finding the Third Proportional to 217 and 514
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Solution
The third proportional to 217 and 514 is: 1,217.49
Step by Step Solution
- Step 1: Write the proportion equation
217 : 514 = 514 : x - Step 2: Convert to fraction form
217/514 = 514/x - Step 3: Cross multiply
217x = 514 × 514 - Step 4: Simplify right side
217x = 264,196 - Step 5: Solve for x
x = 264,196/217 - Step 6: Final answer
x = 1,217.49
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Why These Related Problems?
These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.