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Finding the Third Proportional to 83.04 and 169.45

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Solution

The third proportional to 83.04 and 169.45 is: 345.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.04 : 169.45 = 169.45 : x
  2. Step 2: Convert to fraction form
    83.04/169.45 = 169.45/x
  3. Step 3: Cross multiply
    83.04x = 169.45 × 169.45
  4. Step 4: Simplify right side
    83.04x = 28,714.36
  5. Step 5: Solve for x
    x = 28,714.36/83.04
  6. Step 6: Final answer
    x = 345.79

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.