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Finding the Third Proportional to 95,228 and 206,840

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Solution

The third proportional to 95,228 and 206,840 is: 449,266.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,228 : 206,840 = 206,840 : x
  2. Step 2: Convert to fraction form
    95,228/206,840 = 206,840/x
  3. Step 3: Cross multiply
    95,228x = 206,840 × 206,840
  4. Step 4: Simplify right side
    95,228x = 42,782,785,600
  5. Step 5: Solve for x
    x = 42,782,785,600/95,228
  6. Step 6: Final answer
    x = 449,266.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.