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Finding the Third Proportional to 198.91 and 300.59

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Solution

The third proportional to 198.91 and 300.59 is: 454.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.91 : 300.59 = 300.59 : x
  2. Step 2: Convert to fraction form
    198.91/300.59 = 300.59/x
  3. Step 3: Cross multiply
    198.91x = 300.59 × 300.59
  4. Step 4: Simplify right side
    198.91x = 90,351.91
  5. Step 5: Solve for x
    x = 90,351.91/198.91
  6. Step 6: Final answer
    x = 454.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.