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Finding the Third Proportional to 232.56 and 502.14

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Solution

The third proportional to 232.56 and 502.14 is: 1,084.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.56 : 502.14 = 502.14 : x
  2. Step 2: Convert to fraction form
    232.56/502.14 = 502.14/x
  3. Step 3: Cross multiply
    232.56x = 502.14 × 502.14
  4. Step 4: Simplify right side
    232.56x = 252,141.28
  5. Step 5: Solve for x
    x = 252,141.28/232.56
  6. Step 6: Final answer
    x = 1,084.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.