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Finding the Third Proportional to 185,665 and 396,385

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Solution

The third proportional to 185,665 and 396,385 is: 846,261.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,665 : 396,385 = 396,385 : x
  2. Step 2: Convert to fraction form
    185,665/396,385 = 396,385/x
  3. Step 3: Cross multiply
    185,665x = 396,385 × 396,385
  4. Step 4: Simplify right side
    185,665x = 157,121,068,225
  5. Step 5: Solve for x
    x = 157,121,068,225/185,665
  6. Step 6: Final answer
    x = 846,261.11

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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.