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Finding the Third Proportional to 104,379 and 223,512

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Solution

The third proportional to 104,379 and 223,512 is: 478,617.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,379 : 223,512 = 223,512 : x
  2. Step 2: Convert to fraction form
    104,379/223,512 = 223,512/x
  3. Step 3: Cross multiply
    104,379x = 223,512 × 223,512
  4. Step 4: Simplify right side
    104,379x = 49,957,614,144
  5. Step 5: Solve for x
    x = 49,957,614,144/104,379
  6. Step 6: Final answer
    x = 478,617.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.