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Finding the Third Proportional to 203,876 and 311,670

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Solution

The third proportional to 203,876 and 311,670 is: 476,457.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,876 : 311,670 = 311,670 : x
  2. Step 2: Convert to fraction form
    203,876/311,670 = 311,670/x
  3. Step 3: Cross multiply
    203,876x = 311,670 × 311,670
  4. Step 4: Simplify right side
    203,876x = 97,138,188,900
  5. Step 5: Solve for x
    x = 97,138,188,900/203,876
  6. Step 6: Final answer
    x = 476,457.20

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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.