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Finding the Third Proportional to 152,732 and 319,374

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Solution

The third proportional to 152,732 and 319,374 is: 667,834.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,732 : 319,374 = 319,374 : x
  2. Step 2: Convert to fraction form
    152,732/319,374 = 319,374/x
  3. Step 3: Cross multiply
    152,732x = 319,374 × 319,374
  4. Step 4: Simplify right side
    152,732x = 101,999,751,876
  5. Step 5: Solve for x
    x = 101,999,751,876/152,732
  6. Step 6: Final answer
    x = 667,834.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.