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Finding the Third Proportional to 156,785.25 and 231,486.75

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Solution

The third proportional to 156,785.25 and 231,486.75 is: 341,780.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,785.25 : 231,486.75 = 231,486.75 : x
  2. Step 2: Convert to fraction form
    156,785.25/231,486.75 = 231,486.75/x
  3. Step 3: Cross multiply
    156,785.25x = 231,486.75 × 231,486.75
  4. Step 4: Simplify right side
    156,785.25x = 53,586,115,425.56
  5. Step 5: Solve for x
    x = 53,586,115,425.56/156,785.25
  6. Step 6: Final answer
    x = 341,780.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.