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Finding the Third Proportional to 180.42 and 269.44

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Solution

The third proportional to 180.42 and 269.44 is: 402.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.42 : 269.44 = 269.44 : x
  2. Step 2: Convert to fraction form
    180.42/269.44 = 269.44/x
  3. Step 3: Cross multiply
    180.42x = 269.44 × 269.44
  4. Step 4: Simplify right side
    180.42x = 72,596.57
  5. Step 5: Solve for x
    x = 72,596.57/180.42
  6. Step 6: Final answer
    x = 402.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.