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Finding the Third Proportional to 131,192 and 281,496

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Solution

The third proportional to 131,192 and 281,496 is: 604,000.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,192 : 281,496 = 281,496 : x
  2. Step 2: Convert to fraction form
    131,192/281,496 = 281,496/x
  3. Step 3: Cross multiply
    131,192x = 281,496 × 281,496
  4. Step 4: Simplify right side
    131,192x = 79,239,998,016
  5. Step 5: Solve for x
    x = 79,239,998,016/131,192
  6. Step 6: Final answer
    x = 604,000.23

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.