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Finding the Third Proportional to 159,711 and 239,571

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Solution

The third proportional to 159,711 and 239,571 is: 359,363.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,711 : 239,571 = 239,571 : x
  2. Step 2: Convert to fraction form
    159,711/239,571 = 239,571/x
  3. Step 3: Cross multiply
    159,711x = 239,571 × 239,571
  4. Step 4: Simplify right side
    159,711x = 57,394,264,041
  5. Step 5: Solve for x
    x = 57,394,264,041/159,711
  6. Step 6: Final answer
    x = 359,363.25

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