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Finding the Third Proportional to 149,834 and 327,802

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Solution

The third proportional to 149,834 and 327,802 is: 717,154.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,834 : 327,802 = 327,802 : x
  2. Step 2: Convert to fraction form
    149,834/327,802 = 327,802/x
  3. Step 3: Cross multiply
    149,834x = 327,802 × 327,802
  4. Step 4: Simplify right side
    149,834x = 107,454,151,204
  5. Step 5: Solve for x
    x = 107,454,151,204/149,834
  6. Step 6: Final answer
    x = 717,154.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.