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Finding the Third Proportional to 185,159 and 396,562

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Solution

The third proportional to 185,159 and 396,562 is: 849,331.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,159 : 396,562 = 396,562 : x
  2. Step 2: Convert to fraction form
    185,159/396,562 = 396,562/x
  3. Step 3: Cross multiply
    185,159x = 396,562 × 396,562
  4. Step 4: Simplify right side
    185,159x = 157,261,419,844
  5. Step 5: Solve for x
    x = 157,261,419,844/185,159
  6. Step 6: Final answer
    x = 849,331.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.