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Finding the Third Proportional to 192,631 and 255,668

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Solution

The third proportional to 192,631 and 255,668 is: 339,333.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,631 : 255,668 = 255,668 : x
  2. Step 2: Convert to fraction form
    192,631/255,668 = 255,668/x
  3. Step 3: Cross multiply
    192,631x = 255,668 × 255,668
  4. Step 4: Simplify right side
    192,631x = 65,366,126,224
  5. Step 5: Solve for x
    x = 65,366,126,224/192,631
  6. Step 6: Final answer
    x = 339,333.37

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.