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Finding the Third Proportional to 181,366 and 281,523

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Solution

The third proportional to 181,366 and 281,523 is: 436,990.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,366 : 281,523 = 281,523 : x
  2. Step 2: Convert to fraction form
    181,366/281,523 = 281,523/x
  3. Step 3: Cross multiply
    181,366x = 281,523 × 281,523
  4. Step 4: Simplify right side
    181,366x = 79,255,199,529
  5. Step 5: Solve for x
    x = 79,255,199,529/181,366
  6. Step 6: Final answer
    x = 436,990.39

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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.