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Finding the Third Proportional to 192,834 and 298,542

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Solution

The third proportional to 192,834 and 298,542 is: 462,197.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,834 : 298,542 = 298,542 : x
  2. Step 2: Convert to fraction form
    192,834/298,542 = 298,542/x
  3. Step 3: Cross multiply
    192,834x = 298,542 × 298,542
  4. Step 4: Simplify right side
    192,834x = 89,127,325,764
  5. Step 5: Solve for x
    x = 89,127,325,764/192,834
  6. Step 6: Final answer
    x = 462,197.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.