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Finding the Third Proportional to 103,658 and 223,876

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Solution

The third proportional to 103,658 and 223,876 is: 483,517.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,658 : 223,876 = 223,876 : x
  2. Step 2: Convert to fraction form
    103,658/223,876 = 223,876/x
  3. Step 3: Cross multiply
    103,658x = 223,876 × 223,876
  4. Step 4: Simplify right side
    103,658x = 50,120,463,376
  5. Step 5: Solve for x
    x = 50,120,463,376/103,658
  6. Step 6: Final answer
    x = 483,517.56

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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.