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Finding the Third Proportional to 202,806 and 303,901

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Solution

The third proportional to 202,806 and 303,901 is: 455,389.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,806 : 303,901 = 303,901 : x
  2. Step 2: Convert to fraction form
    202,806/303,901 = 303,901/x
  3. Step 3: Cross multiply
    202,806x = 303,901 × 303,901
  4. Step 4: Simplify right side
    202,806x = 92,355,817,801
  5. Step 5: Solve for x
    x = 92,355,817,801/202,806
  6. Step 6: Final answer
    x = 455,389.97

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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.