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Finding the Third Proportional to 140,979 and 309,996

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Solution

The third proportional to 140,979 and 309,996 is: 681,644.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,979 : 309,996 = 309,996 : x
  2. Step 2: Convert to fraction form
    140,979/309,996 = 309,996/x
  3. Step 3: Cross multiply
    140,979x = 309,996 × 309,996
  4. Step 4: Simplify right side
    140,979x = 96,097,520,016
  5. Step 5: Solve for x
    x = 96,097,520,016/140,979
  6. Step 6: Final answer
    x = 681,644.22

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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.