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Finding the Third Proportional to 192,864 and 395,128

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Solution

The third proportional to 192,864 and 395,128 is: 809,514.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,864 : 395,128 = 395,128 : x
  2. Step 2: Convert to fraction form
    192,864/395,128 = 395,128/x
  3. Step 3: Cross multiply
    192,864x = 395,128 × 395,128
  4. Step 4: Simplify right side
    192,864x = 156,126,136,384
  5. Step 5: Solve for x
    x = 156,126,136,384/192,864
  6. Step 6: Final answer
    x = 809,514.15

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.