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Finding the Third Proportional to 181,414 and 281,595

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Solution

The third proportional to 181,414 and 281,595 is: 437,098.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,414 : 281,595 = 281,595 : x
  2. Step 2: Convert to fraction form
    181,414/281,595 = 281,595/x
  3. Step 3: Cross multiply
    181,414x = 281,595 × 281,595
  4. Step 4: Simplify right side
    181,414x = 79,295,744,025
  5. Step 5: Solve for x
    x = 79,295,744,025/181,414
  6. Step 6: Final answer
    x = 437,098.26

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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.