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Finding the Third Proportional to 140,651.44 and 299,755.69

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Solution

The third proportional to 140,651.44 and 299,755.69 is: 638,837.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,651.44 : 299,755.69 = 299,755.69 : x
  2. Step 2: Convert to fraction form
    140,651.44/299,755.69 = 299,755.69/x
  3. Step 3: Cross multiply
    140,651.44x = 299,755.69 × 299,755.69
  4. Step 4: Simplify right side
    140,651.44x = 89,853,472,188.60
  5. Step 5: Solve for x
    x = 89,853,472,188.60/140,651.44
  6. Step 6: Final answer
    x = 638,837.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.