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Finding the Third Proportional to 169,408.50 and 225,847

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Solution

The third proportional to 169,408.50 and 225,847 is: 301,088.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,408.50 : 225,847 = 225,847 : x
  2. Step 2: Convert to fraction form
    169,408.50/225,847 = 225,847/x
  3. Step 3: Cross multiply
    169,408.50x = 225,847 × 225,847
  4. Step 4: Simplify right side
    169,408.50x = 51,006,867,409
  5. Step 5: Solve for x
    x = 51,006,867,409/169,408.50
  6. Step 6: Final answer
    x = 301,088.01

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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.