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Finding the Third Proportional to 133,635.88 and 269,458.75

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Solution

The third proportional to 133,635.88 and 269,458.75 is: 543,327.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,635.88 : 269,458.75 = 269,458.75 : x
  2. Step 2: Convert to fraction form
    133,635.88/269,458.75 = 269,458.75/x
  3. Step 3: Cross multiply
    133,635.88x = 269,458.75 × 269,458.75
  4. Step 4: Simplify right side
    133,635.88x = 72,608,017,951.56
  5. Step 5: Solve for x
    x = 72,608,017,951.56/133,635.88
  6. Step 6: Final answer
    x = 543,327.29

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These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.