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Finding the Third Proportional to 179,531.44 and 273,027.38

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Solution

The third proportional to 179,531.44 and 273,027.38 is: 415,213.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,531.44 : 273,027.38 = 273,027.38 : x
  2. Step 2: Convert to fraction form
    179,531.44/273,027.38 = 273,027.38/x
  3. Step 3: Cross multiply
    179,531.44x = 273,027.38 × 273,027.38
  4. Step 4: Simplify right side
    179,531.44x = 74,543,947,499.39
  5. Step 5: Solve for x
    x = 74,543,947,499.39/179,531.44
  6. Step 6: Final answer
    x = 415,213.90

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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.