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Finding the Third Proportional to 502.14 and 801.14

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Solution

The third proportional to 502.14 and 801.14 is: 1,278.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.14 : 801.14 = 801.14 : x
  2. Step 2: Convert to fraction form
    502.14/801.14 = 801.14/x
  3. Step 3: Cross multiply
    502.14x = 801.14 × 801.14
  4. Step 4: Simplify right side
    502.14x = 641,826.30
  5. Step 5: Solve for x
    x = 641,826.30/502.14
  6. Step 6: Final answer
    x = 1,278.19

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.