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Finding the Third Proportional to 140,976 and 309,992

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Solution

The third proportional to 140,976 and 309,992 is: 681,641.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,976 : 309,992 = 309,992 : x
  2. Step 2: Convert to fraction form
    140,976/309,992 = 309,992/x
  3. Step 3: Cross multiply
    140,976x = 309,992 × 309,992
  4. Step 4: Simplify right side
    140,976x = 96,095,040,064
  5. Step 5: Solve for x
    x = 96,095,040,064/140,976
  6. Step 6: Final answer
    x = 681,641.13

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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.