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Finding the Third Proportional to 83.13 and 166.25

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Solution

The third proportional to 83.13 and 166.25 is: 332.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.13 : 166.25 = 166.25 : x
  2. Step 2: Convert to fraction form
    83.13/166.25 = 166.25/x
  3. Step 3: Cross multiply
    83.13x = 166.25 × 166.25
  4. Step 4: Simplify right side
    83.13x = 27,639.06
  5. Step 5: Solve for x
    x = 27,639.06/83.13
  6. Step 6: Final answer
    x = 332.50

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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.