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Finding the Third Proportional to 197.75 and 296.88

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Solution

The third proportional to 197.75 and 296.88 is: 445.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.75 : 296.88 = 296.88 : x
  2. Step 2: Convert to fraction form
    197.75/296.88 = 296.88/x
  3. Step 3: Cross multiply
    197.75x = 296.88 × 296.88
  4. Step 4: Simplify right side
    197.75x = 88,134.77
  5. Step 5: Solve for x
    x = 88,134.77/197.75
  6. Step 6: Final answer
    x = 445.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.