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Finding the Third Proportional to 185,669 and 396,394

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Solution

The third proportional to 185,669 and 396,394 is: 846,281.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,669 : 396,394 = 396,394 : x
  2. Step 2: Convert to fraction form
    185,669/396,394 = 396,394/x
  3. Step 3: Cross multiply
    185,669x = 396,394 × 396,394
  4. Step 4: Simplify right side
    185,669x = 157,128,203,236
  5. Step 5: Solve for x
    x = 157,128,203,236/185,669
  6. Step 6: Final answer
    x = 846,281.30

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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.