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Finding the Third Proportional to 169,149 and 363,812

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Solution

The third proportional to 169,149 and 363,812 is: 782,500.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,149 : 363,812 = 363,812 : x
  2. Step 2: Convert to fraction form
    169,149/363,812 = 363,812/x
  3. Step 3: Cross multiply
    169,149x = 363,812 × 363,812
  4. Step 4: Simplify right side
    169,149x = 132,359,171,344
  5. Step 5: Solve for x
    x = 132,359,171,344/169,149
  6. Step 6: Final answer
    x = 782,500.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.