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Finding the Third Proportional to 169,150 and 363,815

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Solution

The third proportional to 169,150 and 363,815 is: 782,508.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,150 : 363,815 = 363,815 : x
  2. Step 2: Convert to fraction form
    169,150/363,815 = 363,815/x
  3. Step 3: Cross multiply
    169,150x = 363,815 × 363,815
  4. Step 4: Simplify right side
    169,150x = 132,361,354,225
  5. Step 5: Solve for x
    x = 132,361,354,225/169,150
  6. Step 6: Final answer
    x = 782,508.75

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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.