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Finding the Third Proportional to 202,219 and 303,977

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Solution

The third proportional to 202,219 and 303,977 is: 456,940.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,219 : 303,977 = 303,977 : x
  2. Step 2: Convert to fraction form
    202,219/303,977 = 303,977/x
  3. Step 3: Cross multiply
    202,219x = 303,977 × 303,977
  4. Step 4: Simplify right side
    202,219x = 92,402,016,529
  5. Step 5: Solve for x
    x = 92,402,016,529/202,219
  6. Step 6: Final answer
    x = 456,940.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.