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Finding the Third Proportional to 105,192 and 226,422

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Solution

The third proportional to 105,192 and 226,422 is: 487,365.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,192 : 226,422 = 226,422 : x
  2. Step 2: Convert to fraction form
    105,192/226,422 = 226,422/x
  3. Step 3: Cross multiply
    105,192x = 226,422 × 226,422
  4. Step 4: Simplify right side
    105,192x = 51,266,922,084
  5. Step 5: Solve for x
    x = 51,266,922,084/105,192
  6. Step 6: Final answer
    x = 487,365.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.