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Finding the Third Proportional to 200,226 and 355,936

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Solution

The third proportional to 200,226 and 355,936 is: 632,737.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,226 : 355,936 = 355,936 : x
  2. Step 2: Convert to fraction form
    200,226/355,936 = 355,936/x
  3. Step 3: Cross multiply
    200,226x = 355,936 × 355,936
  4. Step 4: Simplify right side
    200,226x = 126,690,436,096
  5. Step 5: Solve for x
    x = 126,690,436,096/200,226
  6. Step 6: Final answer
    x = 632,737.19

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.