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Finding the Third Proportional to 198.07 and 297.42

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Solution

The third proportional to 198.07 and 297.42 is: 446.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.07 : 297.42 = 297.42 : x
  2. Step 2: Convert to fraction form
    198.07/297.42 = 297.42/x
  3. Step 3: Cross multiply
    198.07x = 297.42 × 297.42
  4. Step 4: Simplify right side
    198.07x = 88,459.77
  5. Step 5: Solve for x
    x = 88,459.77/198.07
  6. Step 6: Final answer
    x = 446.61

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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.