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Finding the Third Proportional to 159,432 and 239,526

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Solution

The third proportional to 159,432 and 239,526 is: 359,856.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,432 : 239,526 = 239,526 : x
  2. Step 2: Convert to fraction form
    159,432/239,526 = 239,526/x
  3. Step 3: Cross multiply
    159,432x = 239,526 × 239,526
  4. Step 4: Simplify right side
    159,432x = 57,372,704,676
  5. Step 5: Solve for x
    x = 57,372,704,676/159,432
  6. Step 6: Final answer
    x = 359,856.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.