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Finding the Third Proportional to 202,806 and 303,900

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Solution

The third proportional to 202,806 and 303,900 is: 455,386.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,806 : 303,900 = 303,900 : x
  2. Step 2: Convert to fraction form
    202,806/303,900 = 303,900/x
  3. Step 3: Cross multiply
    202,806x = 303,900 × 303,900
  4. Step 4: Simplify right side
    202,806x = 92,355,210,000
  5. Step 5: Solve for x
    x = 92,355,210,000/202,806
  6. Step 6: Final answer
    x = 455,386.97

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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.