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Finding the Third Proportional to 107,664.19 and 251,469.56

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Solution

The third proportional to 107,664.19 and 251,469.56 is: 587,353.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,664.19 : 251,469.56 = 251,469.56 : x
  2. Step 2: Convert to fraction form
    107,664.19/251,469.56 = 251,469.56/x
  3. Step 3: Cross multiply
    107,664.19x = 251,469.56 × 251,469.56
  4. Step 4: Simplify right side
    107,664.19x = 63,236,940,863.94
  5. Step 5: Solve for x
    x = 63,236,940,863.94/107,664.19
  6. Step 6: Final answer
    x = 587,353.53

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.