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Finding the Third Proportional to 192,098 and 281,919

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Solution

The third proportional to 192,098 and 281,919 is: 413,738.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,098 : 281,919 = 281,919 : x
  2. Step 2: Convert to fraction form
    192,098/281,919 = 281,919/x
  3. Step 3: Cross multiply
    192,098x = 281,919 × 281,919
  4. Step 4: Simplify right side
    192,098x = 79,478,322,561
  5. Step 5: Solve for x
    x = 79,478,322,561/192,098
  6. Step 6: Final answer
    x = 413,738.42

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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.