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Finding the Third Proportional to 113,676 and 236,616

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Solution

The third proportional to 113,676 and 236,616 is: 492,514.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,676 : 236,616 = 236,616 : x
  2. Step 2: Convert to fraction form
    113,676/236,616 = 236,616/x
  3. Step 3: Cross multiply
    113,676x = 236,616 × 236,616
  4. Step 4: Simplify right side
    113,676x = 55,987,131,456
  5. Step 5: Solve for x
    x = 55,987,131,456/113,676
  6. Step 6: Final answer
    x = 492,514.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.