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Finding the Third Proportional to 169,408.13 and 225,846.84

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Solution

The third proportional to 169,408.13 and 225,846.84 is: 301,088.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,408.13 : 225,846.84 = 225,846.84 : x
  2. Step 2: Convert to fraction form
    169,408.13/225,846.84 = 225,846.84/x
  3. Step 3: Cross multiply
    169,408.13x = 225,846.84 × 225,846.84
  4. Step 4: Simplify right side
    169,408.13x = 51,006,796,831.84
  5. Step 5: Solve for x
    x = 51,006,796,831.84/169,408.13
  6. Step 6: Final answer
    x = 301,088.26

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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.