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Finding the Third Proportional to 180.38 and 272.19

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Solution

The third proportional to 180.38 and 272.19 is: 410.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.38 : 272.19 = 272.19 : x
  2. Step 2: Convert to fraction form
    180.38/272.19 = 272.19/x
  3. Step 3: Cross multiply
    180.38x = 272.19 × 272.19
  4. Step 4: Simplify right side
    180.38x = 74,086.04
  5. Step 5: Solve for x
    x = 74,086.04/180.38
  6. Step 6: Final answer
    x = 410.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.