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Finding the Third Proportional to 204,530 and 313,963

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Solution

The third proportional to 204,530 and 313,963 is: 481,947.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,530 : 313,963 = 313,963 : x
  2. Step 2: Convert to fraction form
    204,530/313,963 = 313,963/x
  3. Step 3: Cross multiply
    204,530x = 313,963 × 313,963
  4. Step 4: Simplify right side
    204,530x = 98,572,765,369
  5. Step 5: Solve for x
    x = 98,572,765,369/204,530
  6. Step 6: Final answer
    x = 481,947.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.