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Finding the Third Proportional to 147,150 and 327,609

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Solution

The third proportional to 147,150 and 327,609 is: 729,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,150 : 327,609 = 327,609 : x
  2. Step 2: Convert to fraction form
    147,150/327,609 = 327,609/x
  3. Step 3: Cross multiply
    147,150x = 327,609 × 327,609
  4. Step 4: Simplify right side
    147,150x = 107,327,656,881
  5. Step 5: Solve for x
    x = 107,327,656,881/147,150
  6. Step 6: Final answer
    x = 729,375.85

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.