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Finding the Third Proportional to 203,214 and 308,874

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Solution

The third proportional to 203,214 and 308,874 is: 469,471.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,214 : 308,874 = 308,874 : x
  2. Step 2: Convert to fraction form
    203,214/308,874 = 308,874/x
  3. Step 3: Cross multiply
    203,214x = 308,874 × 308,874
  4. Step 4: Simplify right side
    203,214x = 95,403,147,876
  5. Step 5: Solve for x
    x = 95,403,147,876/203,214
  6. Step 6: Final answer
    x = 469,471.34

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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.