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Finding the Third Proportional to 202,181 and 268,280

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Solution

The third proportional to 202,181 and 268,280 is: 355,988.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,181 : 268,280 = 268,280 : x
  2. Step 2: Convert to fraction form
    202,181/268,280 = 268,280/x
  3. Step 3: Cross multiply
    202,181x = 268,280 × 268,280
  4. Step 4: Simplify right side
    202,181x = 71,974,158,400
  5. Step 5: Solve for x
    x = 71,974,158,400/202,181
  6. Step 6: Final answer
    x = 355,988.73

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.