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Finding the Third Proportional to 225,843.75 and 338,793.75

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Solution

The third proportional to 225,843.75 and 338,793.75 is: 508,232.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,843.75 : 338,793.75 = 338,793.75 : x
  2. Step 2: Convert to fraction form
    225,843.75/338,793.75 = 338,793.75/x
  3. Step 3: Cross multiply
    225,843.75x = 338,793.75 × 338,793.75
  4. Step 4: Simplify right side
    225,843.75x = 114,781,205,039.06
  5. Step 5: Solve for x
    x = 114,781,205,039.06/225,843.75
  6. Step 6: Final answer
    x = 508,232.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.