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Finding the Third Proportional to 192.75 and 269.91

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Solution

The third proportional to 192.75 and 269.91 is: 377.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.75 : 269.91 = 269.91 : x
  2. Step 2: Convert to fraction form
    192.75/269.91 = 269.91/x
  3. Step 3: Cross multiply
    192.75x = 269.91 × 269.91
  4. Step 4: Simplify right side
    192.75x = 72,849.38
  5. Step 5: Solve for x
    x = 72,849.38/192.75
  6. Step 6: Final answer
    x = 377.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.