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Finding the Third Proportional to 252,169.50 and 351,234

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Solution

The third proportional to 252,169.50 and 351,234 is: 489,215.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,169.50 : 351,234 = 351,234 : x
  2. Step 2: Convert to fraction form
    252,169.50/351,234 = 351,234/x
  3. Step 3: Cross multiply
    252,169.50x = 351,234 × 351,234
  4. Step 4: Simplify right side
    252,169.50x = 123,365,322,756
  5. Step 5: Solve for x
    x = 123,365,322,756/252,169.50
  6. Step 6: Final answer
    x = 489,215.88

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.