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Finding the Third Proportional to 133,832 and 297,188

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Solution

The third proportional to 133,832 and 297,188 is: 659,937.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,832 : 297,188 = 297,188 : x
  2. Step 2: Convert to fraction form
    133,832/297,188 = 297,188/x
  3. Step 3: Cross multiply
    133,832x = 297,188 × 297,188
  4. Step 4: Simplify right side
    133,832x = 88,320,707,344
  5. Step 5: Solve for x
    x = 88,320,707,344/133,832
  6. Step 6: Final answer
    x = 659,937.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.