Finding the Third Proportional to 214 and 542
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Solution
The third proportional to 214 and 542 is: 1,372.73
Step by Step Solution
- Step 1: Write the proportion equation
214 : 542 = 542 : x - Step 2: Convert to fraction form
214/542 = 542/x - Step 3: Cross multiply
214x = 542 × 542 - Step 4: Simplify right side
214x = 293,764 - Step 5: Solve for x
x = 293,764/214 - Step 6: Final answer
x = 1,372.73
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These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.