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Finding the Third Proportional to 185,531 and 281,836

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Solution

The third proportional to 185,531 and 281,836 is: 428,130.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,531 : 281,836 = 281,836 : x
  2. Step 2: Convert to fraction form
    185,531/281,836 = 281,836/x
  3. Step 3: Cross multiply
    185,531x = 281,836 × 281,836
  4. Step 4: Simplify right side
    185,531x = 79,431,530,896
  5. Step 5: Solve for x
    x = 79,431,530,896/185,531
  6. Step 6: Final answer
    x = 428,130.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.