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Finding the Third Proportional to 133,327 and 281,642

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Solution

The third proportional to 133,327 and 281,642 is: 594,944.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,327 : 281,642 = 281,642 : x
  2. Step 2: Convert to fraction form
    133,327/281,642 = 281,642/x
  3. Step 3: Cross multiply
    133,327x = 281,642 × 281,642
  4. Step 4: Simplify right side
    133,327x = 79,322,216,164
  5. Step 5: Solve for x
    x = 79,322,216,164/133,327
  6. Step 6: Final answer
    x = 594,944.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.