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Finding the Third Proportional to 223,099 and 339,876

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Solution

The third proportional to 223,099 and 339,876 is: 517,777.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,099 : 339,876 = 339,876 : x
  2. Step 2: Convert to fraction form
    223,099/339,876 = 339,876/x
  3. Step 3: Cross multiply
    223,099x = 339,876 × 339,876
  4. Step 4: Simplify right side
    223,099x = 115,515,695,376
  5. Step 5: Solve for x
    x = 115,515,695,376/223,099
  6. Step 6: Final answer
    x = 517,777.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.