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Finding the Third Proportional to 203,942.25 and 310,234.50

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Solution

The third proportional to 203,942.25 and 310,234.50 is: 471,924.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,942.25 : 310,234.50 = 310,234.50 : x
  2. Step 2: Convert to fraction form
    203,942.25/310,234.50 = 310,234.50/x
  3. Step 3: Cross multiply
    203,942.25x = 310,234.50 × 310,234.50
  4. Step 4: Simplify right side
    203,942.25x = 96,245,444,990.25
  5. Step 5: Solve for x
    x = 96,245,444,990.25/203,942.25
  6. Step 6: Final answer
    x = 471,924.99

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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.