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Finding the Third Proportional to 150,892 and 327,742

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Solution

The third proportional to 150,892 and 327,742 is: 711,865.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,892 : 327,742 = 327,742 : x
  2. Step 2: Convert to fraction form
    150,892/327,742 = 327,742/x
  3. Step 3: Cross multiply
    150,892x = 327,742 × 327,742
  4. Step 4: Simplify right side
    150,892x = 107,414,818,564
  5. Step 5: Solve for x
    x = 107,414,818,564/150,892
  6. Step 6: Final answer
    x = 711,865.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.