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Finding the Third Proportional to 168,471 and 363,186

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Solution

The third proportional to 168,471 and 363,186 is: 782,948.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,471 : 363,186 = 363,186 : x
  2. Step 2: Convert to fraction form
    168,471/363,186 = 363,186/x
  3. Step 3: Cross multiply
    168,471x = 363,186 × 363,186
  4. Step 4: Simplify right side
    168,471x = 131,904,070,596
  5. Step 5: Solve for x
    x = 131,904,070,596/168,471
  6. Step 6: Final answer
    x = 782,948.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.