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Finding the Third Proportional to 185,664 and 396,384

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Solution

The third proportional to 185,664 and 396,384 is: 846,261.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,664 : 396,384 = 396,384 : x
  2. Step 2: Convert to fraction form
    185,664/396,384 = 396,384/x
  3. Step 3: Cross multiply
    185,664x = 396,384 × 396,384
  4. Step 4: Simplify right side
    185,664x = 157,120,275,456
  5. Step 5: Solve for x
    x = 157,120,275,456/185,664
  6. Step 6: Final answer
    x = 846,261.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.