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Finding the Third Proportional to 198.13 and 303.94

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Solution

The third proportional to 198.13 and 303.94 is: 466.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.13 : 303.94 = 303.94 : x
  2. Step 2: Convert to fraction form
    198.13/303.94 = 303.94/x
  3. Step 3: Cross multiply
    198.13x = 303.94 × 303.94
  4. Step 4: Simplify right side
    198.13x = 92,378.00
  5. Step 5: Solve for x
    x = 92,378.00/198.13
  6. Step 6: Final answer
    x = 466.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.