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Finding the Third Proportional to 140,976 and 309,990

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Solution

The third proportional to 140,976 and 309,990 is: 681,632.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,976 : 309,990 = 309,990 : x
  2. Step 2: Convert to fraction form
    140,976/309,990 = 309,990/x
  3. Step 3: Cross multiply
    140,976x = 309,990 × 309,990
  4. Step 4: Simplify right side
    140,976x = 96,093,800,100
  5. Step 5: Solve for x
    x = 96,093,800,100/140,976
  6. Step 6: Final answer
    x = 681,632.34

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