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Finding the Third Proportional to 203,147 and 437,512

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Solution

The third proportional to 203,147 and 437,512 is: 942,257.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,147 : 437,512 = 437,512 : x
  2. Step 2: Convert to fraction form
    203,147/437,512 = 437,512/x
  3. Step 3: Cross multiply
    203,147x = 437,512 × 437,512
  4. Step 4: Simplify right side
    203,147x = 191,416,750,144
  5. Step 5: Solve for x
    x = 191,416,750,144/203,147
  6. Step 6: Final answer
    x = 942,257.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.