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Finding the Third Proportional to 198.98 and 315.42

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Solution

The third proportional to 198.98 and 315.42 is: 499.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.98 : 315.42 = 315.42 : x
  2. Step 2: Convert to fraction form
    198.98/315.42 = 315.42/x
  3. Step 3: Cross multiply
    198.98x = 315.42 × 315.42
  4. Step 4: Simplify right side
    198.98x = 99,490.96
  5. Step 5: Solve for x
    x = 99,490.96/198.98
  6. Step 6: Final answer
    x = 499.99

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.