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Finding the Third Proportional to 198.50 and 301.13

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Solution

The third proportional to 198.50 and 301.13 is: 456.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.50 : 301.13 = 301.13 : x
  2. Step 2: Convert to fraction form
    198.50/301.13 = 301.13/x
  3. Step 3: Cross multiply
    198.50x = 301.13 × 301.13
  4. Step 4: Simplify right side
    198.50x = 90,676.27
  5. Step 5: Solve for x
    x = 90,676.27/198.50
  6. Step 6: Final answer
    x = 456.81

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Why These Related Problems?

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