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Finding the Third Proportional to 141,546.75 and 217,234.13

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Solution

The third proportional to 141,546.75 and 217,234.13 is: 333,392.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,546.75 : 217,234.13 = 217,234.13 : x
  2. Step 2: Convert to fraction form
    141,546.75/217,234.13 = 217,234.13/x
  3. Step 3: Cross multiply
    141,546.75x = 217,234.13 × 217,234.13
  4. Step 4: Simplify right side
    141,546.75x = 47,190,665,064.52
  5. Step 5: Solve for x
    x = 47,190,665,064.52/141,546.75
  6. Step 6: Final answer
    x = 333,392.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.