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Finding the Third Proportional to 273.38 and 362.60

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Solution

The third proportional to 273.38 and 362.60 is: 480.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.38 : 362.60 = 362.60 : x
  2. Step 2: Convert to fraction form
    273.38/362.60 = 362.60/x
  3. Step 3: Cross multiply
    273.38x = 362.60 × 362.60
  4. Step 4: Simplify right side
    273.38x = 131,479.89
  5. Step 5: Solve for x
    x = 131,479.89/273.38
  6. Step 6: Final answer
    x = 480.95

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.