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Finding the Third Proportional to 104,631 and 226,029

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Solution

The third proportional to 104,631 and 226,029 is: 488,278.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,631 : 226,029 = 226,029 : x
  2. Step 2: Convert to fraction form
    104,631/226,029 = 226,029/x
  3. Step 3: Cross multiply
    104,631x = 226,029 × 226,029
  4. Step 4: Simplify right side
    104,631x = 51,089,108,841
  5. Step 5: Solve for x
    x = 51,089,108,841/104,631
  6. Step 6: Final answer
    x = 488,278.89

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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.