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Finding the Third Proportional to 179,554 and 273,059

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Solution

The third proportional to 179,554 and 273,059 is: 415,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,554 : 273,059 = 273,059 : x
  2. Step 2: Convert to fraction form
    179,554/273,059 = 273,059/x
  3. Step 3: Cross multiply
    179,554x = 273,059 × 273,059
  4. Step 4: Simplify right side
    179,554x = 74,561,217,481
  5. Step 5: Solve for x
    x = 74,561,217,481/179,554
  6. Step 6: Final answer
    x = 415,257.90

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.