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Finding the Third Proportional to 198.94 and 350.88

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Solution

The third proportional to 198.94 and 350.88 is: 618.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.94 : 350.88 = 350.88 : x
  2. Step 2: Convert to fraction form
    198.94/350.88 = 350.88/x
  3. Step 3: Cross multiply
    198.94x = 350.88 × 350.88
  4. Step 4: Simplify right side
    198.94x = 123,113.27
  5. Step 5: Solve for x
    x = 123,113.27/198.94
  6. Step 6: Final answer
    x = 618.85

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.