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Finding the Third Proportional to 148,770 and 327,720

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Solution

The third proportional to 148,770 and 327,720 is: 721,922.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,770 : 327,720 = 327,720 : x
  2. Step 2: Convert to fraction form
    148,770/327,720 = 327,720/x
  3. Step 3: Cross multiply
    148,770x = 327,720 × 327,720
  4. Step 4: Simplify right side
    148,770x = 107,400,398,400
  5. Step 5: Solve for x
    x = 107,400,398,400/148,770
  6. Step 6: Final answer
    x = 721,922.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.