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Finding the Third Proportional to 103,801 and 226,990

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Solution

The third proportional to 103,801 and 226,990 is: 496,377.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,801 : 226,990 = 226,990 : x
  2. Step 2: Convert to fraction form
    103,801/226,990 = 226,990/x
  3. Step 3: Cross multiply
    103,801x = 226,990 × 226,990
  4. Step 4: Simplify right side
    103,801x = 51,524,460,100
  5. Step 5: Solve for x
    x = 51,524,460,100/103,801
  6. Step 6: Final answer
    x = 496,377.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.