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Finding the Third Proportional to 140,800.13 and 293,249.25

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Solution

The third proportional to 140,800.13 and 293,249.25 is: 610,760.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,800.13 : 293,249.25 = 293,249.25 : x
  2. Step 2: Convert to fraction form
    140,800.13/293,249.25 = 293,249.25/x
  3. Step 3: Cross multiply
    140,800.13x = 293,249.25 × 293,249.25
  4. Step 4: Simplify right side
    140,800.13x = 85,995,122,625.56
  5. Step 5: Solve for x
    x = 85,995,122,625.56/140,800.13
  6. Step 6: Final answer
    x = 610,760.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.