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Finding the Third Proportional to 115,942 and 244,338

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Solution

The third proportional to 115,942 and 244,338 is: 514,921.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,942 : 244,338 = 244,338 : x
  2. Step 2: Convert to fraction form
    115,942/244,338 = 244,338/x
  3. Step 3: Cross multiply
    115,942x = 244,338 × 244,338
  4. Step 4: Simplify right side
    115,942x = 59,701,058,244
  5. Step 5: Solve for x
    x = 59,701,058,244/115,942
  6. Step 6: Final answer
    x = 514,921.76

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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.