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Finding the Third Proportional to 238,593.38 and 519,169.50

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Solution

The third proportional to 238,593.38 and 519,169.50 is: 1,129,691.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,593.38 : 519,169.50 = 519,169.50 : x
  2. Step 2: Convert to fraction form
    238,593.38/519,169.50 = 519,169.50/x
  3. Step 3: Cross multiply
    238,593.38x = 519,169.50 × 519,169.50
  4. Step 4: Simplify right side
    238,593.38x = 269,536,969,730.25
  5. Step 5: Solve for x
    x = 269,536,969,730.25/238,593.38
  6. Step 6: Final answer
    x = 1,129,691.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.