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Finding the Third Proportional to 115,910 and 244,481

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Solution

The third proportional to 115,910 and 244,481 is: 515,666.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,910 : 244,481 = 244,481 : x
  2. Step 2: Convert to fraction form
    115,910/244,481 = 244,481/x
  3. Step 3: Cross multiply
    115,910x = 244,481 × 244,481
  4. Step 4: Simplify right side
    115,910x = 59,770,959,361
  5. Step 5: Solve for x
    x = 59,770,959,361/115,910
  6. Step 6: Final answer
    x = 515,666.98

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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.