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Finding the Third Proportional to 138,084.75 and 244,108.69

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Solution

The third proportional to 138,084.75 and 244,108.69 is: 431,539.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,084.75 : 244,108.69 = 244,108.69 : x
  2. Step 2: Convert to fraction form
    138,084.75/244,108.69 = 244,108.69/x
  3. Step 3: Cross multiply
    138,084.75x = 244,108.69 × 244,108.69
  4. Step 4: Simplify right side
    138,084.75x = 59,589,051,312.97
  5. Step 5: Solve for x
    x = 59,589,051,312.97/138,084.75
  6. Step 6: Final answer
    x = 431,539.70

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.