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Finding the Third Proportional to 148,755 and 327,035

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Solution

The third proportional to 148,755 and 327,035 is: 718,980.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,755 : 327,035 = 327,035 : x
  2. Step 2: Convert to fraction form
    148,755/327,035 = 327,035/x
  3. Step 3: Cross multiply
    148,755x = 327,035 × 327,035
  4. Step 4: Simplify right side
    148,755x = 106,951,891,225
  5. Step 5: Solve for x
    x = 106,951,891,225/148,755
  6. Step 6: Final answer
    x = 718,980.14

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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.