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Finding the Third Proportional to 187,827 and 281,741

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Solution

The third proportional to 187,827 and 281,741 is: 422,612.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,827 : 281,741 = 281,741 : x
  2. Step 2: Convert to fraction form
    187,827/281,741 = 281,741/x
  3. Step 3: Cross multiply
    187,827x = 281,741 × 281,741
  4. Step 4: Simplify right side
    187,827x = 79,377,991,081
  5. Step 5: Solve for x
    x = 79,377,991,081/187,827
  6. Step 6: Final answer
    x = 422,612.25

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Why These Related Problems?

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