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Finding the Third Proportional to 269,112.38 and 365,639.06

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Solution

The third proportional to 269,112.38 and 365,639.06 is: 496,788.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,112.38 : 365,639.06 = 365,639.06 : x
  2. Step 2: Convert to fraction form
    269,112.38/365,639.06 = 365,639.06/x
  3. Step 3: Cross multiply
    269,112.38x = 365,639.06 × 365,639.06
  4. Step 4: Simplify right side
    269,112.38x = 133,691,924,025.88
  5. Step 5: Solve for x
    x = 133,691,924,025.88/269,112.38
  6. Step 6: Final answer
    x = 496,788.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.