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Finding the Third Proportional to 103,981 and 225,443

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Solution

The third proportional to 103,981 and 225,443 is: 488,786.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,981 : 225,443 = 225,443 : x
  2. Step 2: Convert to fraction form
    103,981/225,443 = 225,443/x
  3. Step 3: Cross multiply
    103,981x = 225,443 × 225,443
  4. Step 4: Simplify right side
    103,981x = 50,824,546,249
  5. Step 5: Solve for x
    x = 50,824,546,249/103,981
  6. Step 6: Final answer
    x = 488,786.86

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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.