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Finding the Third Proportional to 115 and 178.25

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Solution

The third proportional to 115 and 178.25 is: 276.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    115 : 178.25 = 178.25 : x
  2. Step 2: Convert to fraction form
    115/178.25 = 178.25/x
  3. Step 3: Cross multiply
    115x = 178.25 × 178.25
  4. Step 4: Simplify right side
    115x = 31,773.06
  5. Step 5: Solve for x
    x = 31,773.06/115
  6. Step 6: Final answer
    x = 276.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.