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Finding the Third Proportional to 117.07 and 178.24

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Solution

The third proportional to 117.07 and 178.24 is: 271.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.07 : 178.24 = 178.24 : x
  2. Step 2: Convert to fraction form
    117.07/178.24 = 178.24/x
  3. Step 3: Cross multiply
    117.07x = 178.24 × 178.24
  4. Step 4: Simplify right side
    117.07x = 31,770.28
  5. Step 5: Solve for x
    x = 31,770.28/117.07
  6. Step 6: Final answer
    x = 271.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.