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Finding the Third Proportional to 115,891 and 244,238

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Solution

The third proportional to 115,891 and 244,238 is: 514,726.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,891 : 244,238 = 244,238 : x
  2. Step 2: Convert to fraction form
    115,891/244,238 = 244,238/x
  3. Step 3: Cross multiply
    115,891x = 244,238 × 244,238
  4. Step 4: Simplify right side
    115,891x = 59,652,200,644
  5. Step 5: Solve for x
    x = 59,652,200,644/115,891
  6. Step 6: Final answer
    x = 514,726.77

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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.