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Finding the Third Proportional to 168.25 and 262.94

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Solution

The third proportional to 168.25 and 262.94 is: 410.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.25 : 262.94 = 262.94 : x
  2. Step 2: Convert to fraction form
    168.25/262.94 = 262.94/x
  3. Step 3: Cross multiply
    168.25x = 262.94 × 262.94
  4. Step 4: Simplify right side
    168.25x = 69,136.13
  5. Step 5: Solve for x
    x = 69,136.13/168.25
  6. Step 6: Final answer
    x = 410.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.