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Finding the Third Proportional to 203,866.50 and 311,124

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Solution

The third proportional to 203,866.50 and 311,124 is: 474,811.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,866.50 : 311,124 = 311,124 : x
  2. Step 2: Convert to fraction form
    203,866.50/311,124 = 311,124/x
  3. Step 3: Cross multiply
    203,866.50x = 311,124 × 311,124
  4. Step 4: Simplify right side
    203,866.50x = 96,798,143,376
  5. Step 5: Solve for x
    x = 96,798,143,376/203,866.50
  6. Step 6: Final answer
    x = 474,811.43

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.