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Finding the Third Proportional to 182.61 and 273.91

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Solution

The third proportional to 182.61 and 273.91 is: 410.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.61 : 273.91 = 273.91 : x
  2. Step 2: Convert to fraction form
    182.61/273.91 = 273.91/x
  3. Step 3: Cross multiply
    182.61x = 273.91 × 273.91
  4. Step 4: Simplify right side
    182.61x = 75,026.10
  5. Step 5: Solve for x
    x = 75,026.10/182.61
  6. Step 6: Final answer
    x = 410.86

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Why These Related Problems?

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