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Finding the Third Proportional to 104,780 and 226,165

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Solution

The third proportional to 104,780 and 226,165 is: 488,171.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,780 : 226,165 = 226,165 : x
  2. Step 2: Convert to fraction form
    104,780/226,165 = 226,165/x
  3. Step 3: Cross multiply
    104,780x = 226,165 × 226,165
  4. Step 4: Simplify right side
    104,780x = 51,150,607,225
  5. Step 5: Solve for x
    x = 51,150,607,225/104,780
  6. Step 6: Final answer
    x = 488,171.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.