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Finding the Third Proportional to 114.75 and 179.44

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Solution

The third proportional to 114.75 and 179.44 is: 280.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.75 : 179.44 = 179.44 : x
  2. Step 2: Convert to fraction form
    114.75/179.44 = 179.44/x
  3. Step 3: Cross multiply
    114.75x = 179.44 × 179.44
  4. Step 4: Simplify right side
    114.75x = 32,197.82
  5. Step 5: Solve for x
    x = 32,197.82/114.75
  6. Step 6: Final answer
    x = 280.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.