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Finding the Third Proportional to 109,372 and 231,745

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Solution

The third proportional to 109,372 and 231,745 is: 491,037.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,372 : 231,745 = 231,745 : x
  2. Step 2: Convert to fraction form
    109,372/231,745 = 231,745/x
  3. Step 3: Cross multiply
    109,372x = 231,745 × 231,745
  4. Step 4: Simplify right side
    109,372x = 53,705,745,025
  5. Step 5: Solve for x
    x = 53,705,745,025/109,372
  6. Step 6: Final answer
    x = 491,037.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.