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Finding the Third Proportional to 179,540 and 273,041

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Solution

The third proportional to 179,540 and 273,041 is: 415,235.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,540 : 273,041 = 273,041 : x
  2. Step 2: Convert to fraction form
    179,540/273,041 = 273,041/x
  3. Step 3: Cross multiply
    179,540x = 273,041 × 273,041
  4. Step 4: Simplify right side
    179,540x = 74,551,387,681
  5. Step 5: Solve for x
    x = 74,551,387,681/179,540
  6. Step 6: Final answer
    x = 415,235.53

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Why These Related Problems?

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