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Finding the Third Proportional to 115,977 and 244,413

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Solution

The third proportional to 115,977 and 244,413 is: 515,082.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,977 : 244,413 = 244,413 : x
  2. Step 2: Convert to fraction form
    115,977/244,413 = 244,413/x
  3. Step 3: Cross multiply
    115,977x = 244,413 × 244,413
  4. Step 4: Simplify right side
    115,977x = 59,737,714,569
  5. Step 5: Solve for x
    x = 59,737,714,569/115,977
  6. Step 6: Final answer
    x = 515,082.43

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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.