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Finding the Third Proportional to 144,211 and 223,876

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Solution

The third proportional to 144,211 and 223,876 is: 347,549.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,211 : 223,876 = 223,876 : x
  2. Step 2: Convert to fraction form
    144,211/223,876 = 223,876/x
  3. Step 3: Cross multiply
    144,211x = 223,876 × 223,876
  4. Step 4: Simplify right side
    144,211x = 50,120,463,376
  5. Step 5: Solve for x
    x = 50,120,463,376/144,211
  6. Step 6: Final answer
    x = 347,549.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.