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Finding the Third Proportional to 83,632 and 202,268

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Solution

The third proportional to 83,632 and 202,268 is: 489,194.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,632 : 202,268 = 202,268 : x
  2. Step 2: Convert to fraction form
    83,632/202,268 = 202,268/x
  3. Step 3: Cross multiply
    83,632x = 202,268 × 202,268
  4. Step 4: Simplify right side
    83,632x = 40,912,343,824
  5. Step 5: Solve for x
    x = 40,912,343,824/83,632
  6. Step 6: Final answer
    x = 489,194.85

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.