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Finding the Third Proportional to 135,969 and 298,824

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Solution

The third proportional to 135,969 and 298,824 is: 656,736.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,969 : 298,824 = 298,824 : x
  2. Step 2: Convert to fraction form
    135,969/298,824 = 298,824/x
  3. Step 3: Cross multiply
    135,969x = 298,824 × 298,824
  4. Step 4: Simplify right side
    135,969x = 89,295,782,976
  5. Step 5: Solve for x
    x = 89,295,782,976/135,969
  6. Step 6: Final answer
    x = 656,736.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.