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Finding the Third Proportional to 168,840 and 394,452

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Solution

The third proportional to 168,840 and 394,452 is: 921,537.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,840 : 394,452 = 394,452 : x
  2. Step 2: Convert to fraction form
    168,840/394,452 = 394,452/x
  3. Step 3: Cross multiply
    168,840x = 394,452 × 394,452
  4. Step 4: Simplify right side
    168,840x = 155,592,380,304
  5. Step 5: Solve for x
    x = 155,592,380,304/168,840
  6. Step 6: Final answer
    x = 921,537.43

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.