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Finding the Third Proportional to 110.50 and 178.13

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Solution

The third proportional to 110.50 and 178.13 is: 287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.50 : 178.13 = 178.13 : x
  2. Step 2: Convert to fraction form
    110.50/178.13 = 178.13/x
  3. Step 3: Cross multiply
    110.50x = 178.13 × 178.13
  4. Step 4: Simplify right side
    110.50x = 31,728.52
  5. Step 5: Solve for x
    x = 31,728.52/110.50
  6. Step 6: Final answer
    x = 287.14

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.