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Finding the Third Proportional to 181,539 and 281,601

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Solution

The third proportional to 181,539 and 281,601 is: 436,815.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,539 : 281,601 = 281,601 : x
  2. Step 2: Convert to fraction form
    181,539/281,601 = 281,601/x
  3. Step 3: Cross multiply
    181,539x = 281,601 × 281,601
  4. Step 4: Simplify right side
    181,539x = 79,299,123,201
  5. Step 5: Solve for x
    x = 79,299,123,201/181,539
  6. Step 6: Final answer
    x = 436,815.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.