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Finding the Third Proportional to 203,493 and 311,312

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Solution

The third proportional to 203,493 and 311,312 is: 476,257.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,493 : 311,312 = 311,312 : x
  2. Step 2: Convert to fraction form
    203,493/311,312 = 311,312/x
  3. Step 3: Cross multiply
    203,493x = 311,312 × 311,312
  4. Step 4: Simplify right side
    203,493x = 96,915,161,344
  5. Step 5: Solve for x
    x = 96,915,161,344/203,493
  6. Step 6: Final answer
    x = 476,257.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.