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Finding the Third Proportional to 179.25 and 197.63

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Solution

The third proportional to 179.25 and 197.63 is: 217.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.25 : 197.63 = 197.63 : x
  2. Step 2: Convert to fraction form
    179.25/197.63 = 197.63/x
  3. Step 3: Cross multiply
    179.25x = 197.63 × 197.63
  4. Step 4: Simplify right side
    179.25x = 39,055.64
  5. Step 5: Solve for x
    x = 39,055.64/179.25
  6. Step 6: Final answer
    x = 217.88

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.