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Finding the Third Proportional to 169,408.25 and 225,846.88

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Solution

The third proportional to 169,408.25 and 225,846.88 is: 301,088.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,408.25 : 225,846.88 = 225,846.88 : x
  2. Step 2: Convert to fraction form
    169,408.25/225,846.88 = 225,846.88/x
  3. Step 3: Cross multiply
    169,408.25x = 225,846.88 × 225,846.88
  4. Step 4: Simplify right side
    169,408.25x = 51,006,810,947.27
  5. Step 5: Solve for x
    x = 51,006,810,947.27/169,408.25
  6. Step 6: Final answer
    x = 301,088.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.