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Finding the Third Proportional to 203,909 and 310,183

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Solution

The third proportional to 203,909 and 310,183 is: 471,845.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,909 : 310,183 = 310,183 : x
  2. Step 2: Convert to fraction form
    203,909/310,183 = 310,183/x
  3. Step 3: Cross multiply
    203,909x = 310,183 × 310,183
  4. Step 4: Simplify right side
    203,909x = 96,213,493,489
  5. Step 5: Solve for x
    x = 96,213,493,489/203,909
  6. Step 6: Final answer
    x = 471,845.25

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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.