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Finding the Third Proportional to 132,327 and 281,723

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Solution

The third proportional to 132,327 and 281,723 is: 599,785.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,327 : 281,723 = 281,723 : x
  2. Step 2: Convert to fraction form
    132,327/281,723 = 281,723/x
  3. Step 3: Cross multiply
    132,327x = 281,723 × 281,723
  4. Step 4: Simplify right side
    132,327x = 79,367,848,729
  5. Step 5: Solve for x
    x = 79,367,848,729/132,327
  6. Step 6: Final answer
    x = 599,785.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.