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Finding the Third Proportional to 180.67 and 484.42

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Solution

The third proportional to 180.67 and 484.42 is: 1,298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.67 : 484.42 = 484.42 : x
  2. Step 2: Convert to fraction form
    180.67/484.42 = 484.42/x
  3. Step 3: Cross multiply
    180.67x = 484.42 × 484.42
  4. Step 4: Simplify right side
    180.67x = 234,660.77
  5. Step 5: Solve for x
    x = 234,660.77/180.67
  6. Step 6: Final answer
    x = 1,298.85

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Why These Related Problems?

These problems maintain the same ratio (2.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.