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Finding the Third Proportional to 104,780.25 and 227,790.75

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Solution

The third proportional to 104,780.25 and 227,790.75 is: 495,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,780.25 : 227,790.75 = 227,790.75 : x
  2. Step 2: Convert to fraction form
    104,780.25/227,790.75 = 227,790.75/x
  3. Step 3: Cross multiply
    104,780.25x = 227,790.75 × 227,790.75
  4. Step 4: Simplify right side
    104,780.25x = 51,888,625,785.56
  5. Step 5: Solve for x
    x = 51,888,625,785.56/104,780.25
  6. Step 6: Final answer
    x = 495,213.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.