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Finding the Third Proportional to 236,676.75 and 323,350.50

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Solution

The third proportional to 236,676.75 and 323,350.50 is: 441,765.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,676.75 : 323,350.50 = 323,350.50 : x
  2. Step 2: Convert to fraction form
    236,676.75/323,350.50 = 323,350.50/x
  3. Step 3: Cross multiply
    236,676.75x = 323,350.50 × 323,350.50
  4. Step 4: Simplify right side
    236,676.75x = 104,555,545,850.25
  5. Step 5: Solve for x
    x = 104,555,545,850.25/236,676.75
  6. Step 6: Final answer
    x = 441,765.17

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.