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Finding the Third Proportional to 138,760.50 and 300,849

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Solution

The third proportional to 138,760.50 and 300,849 is: 652,275.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,760.50 : 300,849 = 300,849 : x
  2. Step 2: Convert to fraction form
    138,760.50/300,849 = 300,849/x
  3. Step 3: Cross multiply
    138,760.50x = 300,849 × 300,849
  4. Step 4: Simplify right side
    138,760.50x = 90,510,120,801
  5. Step 5: Solve for x
    x = 90,510,120,801/138,760.50
  6. Step 6: Final answer
    x = 652,275.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.