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Finding the Third Proportional to 192.25 and 379.25

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Solution

The third proportional to 192.25 and 379.25 is: 748.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.25 : 379.25 = 379.25 : x
  2. Step 2: Convert to fraction form
    192.25/379.25 = 379.25/x
  3. Step 3: Cross multiply
    192.25x = 379.25 × 379.25
  4. Step 4: Simplify right side
    192.25x = 143,830.56
  5. Step 5: Solve for x
    x = 143,830.56/192.25
  6. Step 6: Final answer
    x = 748.14

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.