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Finding the Third Proportional to 84.12 and 168.23

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Solution

The third proportional to 84.12 and 168.23 is: 336.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.12 : 168.23 = 168.23 : x
  2. Step 2: Convert to fraction form
    84.12/168.23 = 168.23/x
  3. Step 3: Cross multiply
    84.12x = 168.23 × 168.23
  4. Step 4: Simplify right side
    84.12x = 28,302.80
  5. Step 5: Solve for x
    x = 28,302.80/84.12
  6. Step 6: Final answer
    x = 336.47

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.