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Finding the Third Proportional to 95,517 and 208,287

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Solution

The third proportional to 95,517 and 208,287 is: 454,196.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,517 : 208,287 = 208,287 : x
  2. Step 2: Convert to fraction form
    95,517/208,287 = 208,287/x
  3. Step 3: Cross multiply
    95,517x = 208,287 × 208,287
  4. Step 4: Simplify right side
    95,517x = 43,383,474,369
  5. Step 5: Solve for x
    x = 43,383,474,369/95,517
  6. Step 6: Final answer
    x = 454,196.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.