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Finding the Third Proportional to 170.44 and 240.09

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Solution

The third proportional to 170.44 and 240.09 is: 338.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.44 : 240.09 = 240.09 : x
  2. Step 2: Convert to fraction form
    170.44/240.09 = 240.09/x
  3. Step 3: Cross multiply
    170.44x = 240.09 × 240.09
  4. Step 4: Simplify right side
    170.44x = 57,645.01
  5. Step 5: Solve for x
    x = 57,645.01/170.44
  6. Step 6: Final answer
    x = 338.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.