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Finding the Third Proportional to 168.89 and 183.23

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Solution

The third proportional to 168.89 and 183.23 is: 198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.89 : 183.23 = 183.23 : x
  2. Step 2: Convert to fraction form
    168.89/183.23 = 183.23/x
  3. Step 3: Cross multiply
    168.89x = 183.23 × 183.23
  4. Step 4: Simplify right side
    168.89x = 33,574.84
  5. Step 5: Solve for x
    x = 33,574.84/168.89
  6. Step 6: Final answer
    x = 198.80

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.