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Finding the Third Proportional to 161,624 and 217,413

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Solution

The third proportional to 161,624 and 217,413 is: 292,459.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,624 : 217,413 = 217,413 : x
  2. Step 2: Convert to fraction form
    161,624/217,413 = 217,413/x
  3. Step 3: Cross multiply
    161,624x = 217,413 × 217,413
  4. Step 4: Simplify right side
    161,624x = 47,268,412,569
  5. Step 5: Solve for x
    x = 47,268,412,569/161,624
  6. Step 6: Final answer
    x = 292,459.12

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.