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Finding the Third Proportional to 193,542 and 394,860

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Solution

The third proportional to 193,542 and 394,860 is: 805,584.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,542 : 394,860 = 394,860 : x
  2. Step 2: Convert to fraction form
    193,542/394,860 = 394,860/x
  3. Step 3: Cross multiply
    193,542x = 394,860 × 394,860
  4. Step 4: Simplify right side
    193,542x = 155,914,419,600
  5. Step 5: Solve for x
    x = 155,914,419,600/193,542
  6. Step 6: Final answer
    x = 805,584.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.