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Finding the Third Proportional to 115,904 and 244,469

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Solution

The third proportional to 115,904 and 244,469 is: 515,643.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,904 : 244,469 = 244,469 : x
  2. Step 2: Convert to fraction form
    115,904/244,469 = 244,469/x
  3. Step 3: Cross multiply
    115,904x = 244,469 × 244,469
  4. Step 4: Simplify right side
    115,904x = 59,765,091,961
  5. Step 5: Solve for x
    x = 59,765,091,961/115,904
  6. Step 6: Final answer
    x = 515,643.05

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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.