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Finding the Third Proportional to 113.44 and 166.69

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Solution

The third proportional to 113.44 and 166.69 is: 244.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.44 : 166.69 = 166.69 : x
  2. Step 2: Convert to fraction form
    113.44/166.69 = 166.69/x
  3. Step 3: Cross multiply
    113.44x = 166.69 × 166.69
  4. Step 4: Simplify right side
    113.44x = 27,784.72
  5. Step 5: Solve for x
    x = 27,784.72/113.44
  6. Step 6: Final answer
    x = 244.93

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Why These Related Problems?

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