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Finding the Third Proportional to 118.25 and 173.38

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Solution

The third proportional to 118.25 and 173.38 is: 254.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.25 : 173.38 = 173.38 : x
  2. Step 2: Convert to fraction form
    118.25/173.38 = 173.38/x
  3. Step 3: Cross multiply
    118.25x = 173.38 × 173.38
  4. Step 4: Simplify right side
    118.25x = 30,058.89
  5. Step 5: Solve for x
    x = 30,058.89/118.25
  6. Step 6: Final answer
    x = 254.20

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.