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Finding the Third Proportional to 192,642 and 255,616

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Solution

The third proportional to 192,642 and 255,616 is: 339,175.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,642 : 255,616 = 255,616 : x
  2. Step 2: Convert to fraction form
    192,642/255,616 = 255,616/x
  3. Step 3: Cross multiply
    192,642x = 255,616 × 255,616
  4. Step 4: Simplify right side
    192,642x = 65,339,539,456
  5. Step 5: Solve for x
    x = 65,339,539,456/192,642
  6. Step 6: Final answer
    x = 339,175.98

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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.