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Finding the Third Proportional to 138,760 and 327,452

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Solution

The third proportional to 138,760 and 327,452 is: 772,735.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,760 : 327,452 = 327,452 : x
  2. Step 2: Convert to fraction form
    138,760/327,452 = 327,452/x
  3. Step 3: Cross multiply
    138,760x = 327,452 × 327,452
  4. Step 4: Simplify right side
    138,760x = 107,224,812,304
  5. Step 5: Solve for x
    x = 107,224,812,304/138,760
  6. Step 6: Final answer
    x = 772,735.75

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.