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Finding the Third Proportional to 219,694.50 and 333,234

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Solution

The third proportional to 219,694.50 and 333,234 is: 505,451.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,694.50 : 333,234 = 333,234 : x
  2. Step 2: Convert to fraction form
    219,694.50/333,234 = 333,234/x
  3. Step 3: Cross multiply
    219,694.50x = 333,234 × 333,234
  4. Step 4: Simplify right side
    219,694.50x = 111,044,898,756
  5. Step 5: Solve for x
    x = 111,044,898,756/219,694.50
  6. Step 6: Final answer
    x = 505,451.43

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.