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Finding the Third Proportional to 83 and 192.25

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Solution

The third proportional to 83 and 192.25 is: 445.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83 : 192.25 = 192.25 : x
  2. Step 2: Convert to fraction form
    83/192.25 = 192.25/x
  3. Step 3: Cross multiply
    83x = 192.25 × 192.25
  4. Step 4: Simplify right side
    83x = 36,960.06
  5. Step 5: Solve for x
    x = 36,960.06/83
  6. Step 6: Final answer
    x = 445.30

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.