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Finding the Third Proportional to 198.07 and 301.85

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Solution

The third proportional to 198.07 and 301.85 is: 460.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.07 : 301.85 = 301.85 : x
  2. Step 2: Convert to fraction form
    198.07/301.85 = 301.85/x
  3. Step 3: Cross multiply
    198.07x = 301.85 × 301.85
  4. Step 4: Simplify right side
    198.07x = 91,114.37
  5. Step 5: Solve for x
    x = 91,114.37/198.07
  6. Step 6: Final answer
    x = 460.01

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.