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Finding the Third Proportional to 95,380 and 207,368

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Solution

The third proportional to 95,380 and 207,368 is: 450,843.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,380 : 207,368 = 207,368 : x
  2. Step 2: Convert to fraction form
    95,380/207,368 = 207,368/x
  3. Step 3: Cross multiply
    95,380x = 207,368 × 207,368
  4. Step 4: Simplify right side
    95,380x = 43,001,487,424
  5. Step 5: Solve for x
    x = 43,001,487,424/95,380
  6. Step 6: Final answer
    x = 450,843.86

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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.