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Finding the Third Proportional to 168.22 and 240.82

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Solution

The third proportional to 168.22 and 240.82 is: 344.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.22 : 240.82 = 240.82 : x
  2. Step 2: Convert to fraction form
    168.22/240.82 = 240.82/x
  3. Step 3: Cross multiply
    168.22x = 240.82 × 240.82
  4. Step 4: Simplify right side
    168.22x = 57,994.42
  5. Step 5: Solve for x
    x = 57,994.42/168.22
  6. Step 6: Final answer
    x = 344.75

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.