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Finding the Third Proportional to 182.41 and 273.61

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Solution

The third proportional to 182.41 and 273.61 is: 410.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.41 : 273.61 = 273.61 : x
  2. Step 2: Convert to fraction form
    182.41/273.61 = 273.61/x
  3. Step 3: Cross multiply
    182.41x = 273.61 × 273.61
  4. Step 4: Simplify right side
    182.41x = 74,863.69
  5. Step 5: Solve for x
    x = 74,863.69/182.41
  6. Step 6: Final answer
    x = 410.42

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