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Finding the Third Proportional to 115,933 and 244,317

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Solution

The third proportional to 115,933 and 244,317 is: 514,873.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,933 : 244,317 = 244,317 : x
  2. Step 2: Convert to fraction form
    115,933/244,317 = 244,317/x
  3. Step 3: Cross multiply
    115,933x = 244,317 × 244,317
  4. Step 4: Simplify right side
    115,933x = 59,690,796,489
  5. Step 5: Solve for x
    x = 59,690,796,489/115,933
  6. Step 6: Final answer
    x = 514,873.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.