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Finding the Third Proportional to 179,530.38 and 273,025.75

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Solution

The third proportional to 179,530.38 and 273,025.75 is: 415,211.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,530.38 : 273,025.75 = 273,025.75 : x
  2. Step 2: Convert to fraction form
    179,530.38/273,025.75 = 273,025.75/x
  3. Step 3: Cross multiply
    179,530.38x = 273,025.75 × 273,025.75
  4. Step 4: Simplify right side
    179,530.38x = 74,543,060,163.06
  5. Step 5: Solve for x
    x = 74,543,060,163.06/179,530.38
  6. Step 6: Final answer
    x = 415,211.41

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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.