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Finding the Third Proportional to 115,929 and 244,311

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Solution

The third proportional to 115,929 and 244,311 is: 514,865.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,929 : 244,311 = 244,311 : x
  2. Step 2: Convert to fraction form
    115,929/244,311 = 244,311/x
  3. Step 3: Cross multiply
    115,929x = 244,311 × 244,311
  4. Step 4: Simplify right side
    115,929x = 59,687,864,721
  5. Step 5: Solve for x
    x = 59,687,864,721/115,929
  6. Step 6: Final answer
    x = 514,865.69

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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.