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Finding the Third Proportional to 148,676 and 326,872

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Solution

The third proportional to 148,676 and 326,872 is: 718,645.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,676 : 326,872 = 326,872 : x
  2. Step 2: Convert to fraction form
    148,676/326,872 = 326,872/x
  3. Step 3: Cross multiply
    148,676x = 326,872 × 326,872
  4. Step 4: Simplify right side
    148,676x = 106,845,304,384
  5. Step 5: Solve for x
    x = 106,845,304,384/148,676
  6. Step 6: Final answer
    x = 718,645.27

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