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Finding the Third Proportional to 185,109 and 396,463

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Solution

The third proportional to 185,109 and 396,463 is: 849,137.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,109 : 396,463 = 396,463 : x
  2. Step 2: Convert to fraction form
    185,109/396,463 = 396,463/x
  3. Step 3: Cross multiply
    185,109x = 396,463 × 396,463
  4. Step 4: Simplify right side
    185,109x = 157,182,910,369
  5. Step 5: Solve for x
    x = 157,182,910,369/185,109
  6. Step 6: Final answer
    x = 849,137.05

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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.