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Finding the Third Proportional to 83.75 and 168.88

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Solution

The third proportional to 83.75 and 168.88 is: 340.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.75 : 168.88 = 168.88 : x
  2. Step 2: Convert to fraction form
    83.75/168.88 = 168.88/x
  3. Step 3: Cross multiply
    83.75x = 168.88 × 168.88
  4. Step 4: Simplify right side
    83.75x = 28,518.77
  5. Step 5: Solve for x
    x = 28,518.77/83.75
  6. Step 6: Final answer
    x = 340.52

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.