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Finding the Third Proportional to 95,230 and 206,844

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Solution

The third proportional to 95,230 and 206,844 is: 449,274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,230 : 206,844 = 206,844 : x
  2. Step 2: Convert to fraction form
    95,230/206,844 = 206,844/x
  3. Step 3: Cross multiply
    95,230x = 206,844 × 206,844
  4. Step 4: Simplify right side
    95,230x = 42,784,440,336
  5. Step 5: Solve for x
    x = 42,784,440,336/95,230
  6. Step 6: Final answer
    x = 449,274.81

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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.