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Finding the Third Proportional to 182,538 and 273,060

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Solution

The third proportional to 182,538 and 273,060 is: 408,472.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,538 : 273,060 = 273,060 : x
  2. Step 2: Convert to fraction form
    182,538/273,060 = 273,060/x
  3. Step 3: Cross multiply
    182,538x = 273,060 × 273,060
  4. Step 4: Simplify right side
    182,538x = 74,561,763,600
  5. Step 5: Solve for x
    x = 74,561,763,600/182,538
  6. Step 6: Final answer
    x = 408,472.56

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Why These Related Problems?

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