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Finding the Third Proportional to 117,698 and 241,593

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Solution

The third proportional to 117,698 and 241,593 is: 495,906.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,698 : 241,593 = 241,593 : x
  2. Step 2: Convert to fraction form
    117,698/241,593 = 241,593/x
  3. Step 3: Cross multiply
    117,698x = 241,593 × 241,593
  4. Step 4: Simplify right side
    117,698x = 58,367,177,649
  5. Step 5: Solve for x
    x = 58,367,177,649/117,698
  6. Step 6: Final answer
    x = 495,906.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.