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Finding the Third Proportional to 103,674 and 226,109

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Solution

The third proportional to 103,674 and 226,109 is: 493,135.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,674 : 226,109 = 226,109 : x
  2. Step 2: Convert to fraction form
    103,674/226,109 = 226,109/x
  3. Step 3: Cross multiply
    103,674x = 226,109 × 226,109
  4. Step 4: Simplify right side
    103,674x = 51,125,279,881
  5. Step 5: Solve for x
    x = 51,125,279,881/103,674
  6. Step 6: Final answer
    x = 493,135.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.