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Finding the Third Proportional to 184.15 and 273.69

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Solution

The third proportional to 184.15 and 273.69 is: 406.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.15 : 273.69 = 273.69 : x
  2. Step 2: Convert to fraction form
    184.15/273.69 = 273.69/x
  3. Step 3: Cross multiply
    184.15x = 273.69 × 273.69
  4. Step 4: Simplify right side
    184.15x = 74,906.99
  5. Step 5: Solve for x
    x = 74,906.99/184.15
  6. Step 6: Final answer
    x = 406.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.