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Finding the Third Proportional to 181,233.75 and 426,408.38

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Solution

The third proportional to 181,233.75 and 426,408.38 is: 1,003,257.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,233.75 : 426,408.38 = 426,408.38 : x
  2. Step 2: Convert to fraction form
    181,233.75/426,408.38 = 426,408.38/x
  3. Step 3: Cross multiply
    181,233.75x = 426,408.38 × 426,408.38
  4. Step 4: Simplify right side
    181,233.75x = 181,824,102,270.14
  5. Step 5: Solve for x
    x = 181,824,102,270.14/181,233.75
  6. Step 6: Final answer
    x = 1,003,257.41

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.