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Finding the Third Proportional to 168.54 and 357.33

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Solution

The third proportional to 168.54 and 357.33 is: 757.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.54 : 357.33 = 357.33 : x
  2. Step 2: Convert to fraction form
    168.54/357.33 = 357.33/x
  3. Step 3: Cross multiply
    168.54x = 357.33 × 357.33
  4. Step 4: Simplify right side
    168.54x = 127,683.39
  5. Step 5: Solve for x
    x = 127,683.39/168.54
  6. Step 6: Final answer
    x = 757.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.