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Finding the Third Proportional to 110.98 and 168.02

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Solution

The third proportional to 110.98 and 168.02 is: 254.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.98 : 168.02 = 168.02 : x
  2. Step 2: Convert to fraction form
    110.98/168.02 = 168.02/x
  3. Step 3: Cross multiply
    110.98x = 168.02 × 168.02
  4. Step 4: Simplify right side
    110.98x = 28,229.25
  5. Step 5: Solve for x
    x = 28,229.25/110.98
  6. Step 6: Final answer
    x = 254.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.