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Finding the Third Proportional to 187,341 and 281,016

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Solution

The third proportional to 187,341 and 281,016 is: 421,530.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,341 : 281,016 = 281,016 : x
  2. Step 2: Convert to fraction form
    187,341/281,016 = 281,016/x
  3. Step 3: Cross multiply
    187,341x = 281,016 × 281,016
  4. Step 4: Simplify right side
    187,341x = 78,969,992,256
  5. Step 5: Solve for x
    x = 78,969,992,256/187,341
  6. Step 6: Final answer
    x = 421,530.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.