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Finding the Third Proportional to 202,217 and 303,974

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Solution

The third proportional to 202,217 and 303,974 is: 456,935.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,217 : 303,974 = 303,974 : x
  2. Step 2: Convert to fraction form
    202,217/303,974 = 303,974/x
  3. Step 3: Cross multiply
    202,217x = 303,974 × 303,974
  4. Step 4: Simplify right side
    202,217x = 92,400,192,676
  5. Step 5: Solve for x
    x = 92,400,192,676/202,217
  6. Step 6: Final answer
    x = 456,935.83

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Why These Related Problems?

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