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Finding the Third Proportional to 131,539.50 and 284,097.38

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Solution

The third proportional to 131,539.50 and 284,097.38 is: 613,589.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,539.50 : 284,097.38 = 284,097.38 : x
  2. Step 2: Convert to fraction form
    131,539.50/284,097.38 = 284,097.38/x
  3. Step 3: Cross multiply
    131,539.50x = 284,097.38 × 284,097.38
  4. Step 4: Simplify right side
    131,539.50x = 80,711,318,481.89
  5. Step 5: Solve for x
    x = 80,711,318,481.89/131,539.50
  6. Step 6: Final answer
    x = 613,589.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.