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Finding the Third Proportional to 192,108 and 281,934

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Solution

The third proportional to 192,108 and 281,934 is: 413,760.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,108 : 281,934 = 281,934 : x
  2. Step 2: Convert to fraction form
    192,108/281,934 = 281,934/x
  3. Step 3: Cross multiply
    192,108x = 281,934 × 281,934
  4. Step 4: Simplify right side
    192,108x = 79,486,780,356
  5. Step 5: Solve for x
    x = 79,486,780,356/192,108
  6. Step 6: Final answer
    x = 413,760.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.