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Finding the Third Proportional to 132,304 and 192,616

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Solution

The third proportional to 132,304 and 192,616 is: 280,421.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,304 : 192,616 = 192,616 : x
  2. Step 2: Convert to fraction form
    132,304/192,616 = 192,616/x
  3. Step 3: Cross multiply
    132,304x = 192,616 × 192,616
  4. Step 4: Simplify right side
    132,304x = 37,100,923,456
  5. Step 5: Solve for x
    x = 37,100,923,456/132,304
  6. Step 6: Final answer
    x = 280,421.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.