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Finding the Third Proportional to 180.42 and 250.52

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Solution

The third proportional to 180.42 and 250.52 is: 347.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.42 : 250.52 = 250.52 : x
  2. Step 2: Convert to fraction form
    180.42/250.52 = 250.52/x
  3. Step 3: Cross multiply
    180.42x = 250.52 × 250.52
  4. Step 4: Simplify right side
    180.42x = 62,761.99
  5. Step 5: Solve for x
    x = 62,761.99/180.42
  6. Step 6: Final answer
    x = 347.86

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.