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Finding the Third Proportional to 185,670 and 396,393

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Solution

The third proportional to 185,670 and 396,393 is: 846,272.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,670 : 396,393 = 396,393 : x
  2. Step 2: Convert to fraction form
    185,670/396,393 = 396,393/x
  3. Step 3: Cross multiply
    185,670x = 396,393 × 396,393
  4. Step 4: Simplify right side
    185,670x = 157,127,410,449
  5. Step 5: Solve for x
    x = 157,127,410,449/185,670
  6. Step 6: Final answer
    x = 846,272.48

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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.