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Finding the Third Proportional to 83,634 and 202,277

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Solution

The third proportional to 83,634 and 202,277 is: 489,226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,634 : 202,277 = 202,277 : x
  2. Step 2: Convert to fraction form
    83,634/202,277 = 202,277/x
  3. Step 3: Cross multiply
    83,634x = 202,277 × 202,277
  4. Step 4: Simplify right side
    83,634x = 40,915,984,729
  5. Step 5: Solve for x
    x = 40,915,984,729/83,634
  6. Step 6: Final answer
    x = 489,226.69

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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.