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Finding the Third Proportional to 168,903 and 361,398

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Solution

The third proportional to 168,903 and 361,398 is: 773,275.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,903 : 361,398 = 361,398 : x
  2. Step 2: Convert to fraction form
    168,903/361,398 = 361,398/x
  3. Step 3: Cross multiply
    168,903x = 361,398 × 361,398
  4. Step 4: Simplify right side
    168,903x = 130,608,514,404
  5. Step 5: Solve for x
    x = 130,608,514,404/168,903
  6. Step 6: Final answer
    x = 773,275.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.