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Finding the Third Proportional to 105,422 and 226,963

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Solution

The third proportional to 105,422 and 226,963 is: 488,628.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,422 : 226,963 = 226,963 : x
  2. Step 2: Convert to fraction form
    105,422/226,963 = 226,963/x
  3. Step 3: Cross multiply
    105,422x = 226,963 × 226,963
  4. Step 4: Simplify right side
    105,422x = 51,512,203,369
  5. Step 5: Solve for x
    x = 51,512,203,369/105,422
  6. Step 6: Final answer
    x = 488,628.59

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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.