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Finding the Third Proportional to 169.44 and 281.56

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Solution

The third proportional to 169.44 and 281.56 is: 467.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.44 : 281.56 = 281.56 : x
  2. Step 2: Convert to fraction form
    169.44/281.56 = 281.56/x
  3. Step 3: Cross multiply
    169.44x = 281.56 × 281.56
  4. Step 4: Simplify right side
    169.44x = 79,277.44
  5. Step 5: Solve for x
    x = 79,277.44/169.44
  6. Step 6: Final answer
    x = 467.89

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.