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Finding the Third Proportional to 179.75 and 224.88

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Solution

The third proportional to 179.75 and 224.88 is: 281.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.75 : 224.88 = 224.88 : x
  2. Step 2: Convert to fraction form
    179.75/224.88 = 224.88/x
  3. Step 3: Cross multiply
    179.75x = 224.88 × 224.88
  4. Step 4: Simplify right side
    179.75x = 50,568.77
  5. Step 5: Solve for x
    x = 50,568.77/179.75
  6. Step 6: Final answer
    x = 281.33

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.