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Finding the Third Proportional to 202,940 and 323,204

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Solution

The third proportional to 202,940 and 323,204 is: 514,737.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,940 : 323,204 = 323,204 : x
  2. Step 2: Convert to fraction form
    202,940/323,204 = 323,204/x
  3. Step 3: Cross multiply
    202,940x = 323,204 × 323,204
  4. Step 4: Simplify right side
    202,940x = 104,460,825,616
  5. Step 5: Solve for x
    x = 104,460,825,616/202,940
  6. Step 6: Final answer
    x = 514,737.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.