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Finding the Third Proportional to 140,067 and 299,817

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Solution

The third proportional to 140,067 and 299,817 is: 641,765.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,067 : 299,817 = 299,817 : x
  2. Step 2: Convert to fraction form
    140,067/299,817 = 299,817/x
  3. Step 3: Cross multiply
    140,067x = 299,817 × 299,817
  4. Step 4: Simplify right side
    140,067x = 89,890,233,489
  5. Step 5: Solve for x
    x = 89,890,233,489/140,067
  6. Step 6: Final answer
    x = 641,765.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.