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Finding the Third Proportional to 83,636 and 202,282

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Solution

The third proportional to 83,636 and 202,282 is: 489,239.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,636 : 202,282 = 202,282 : x
  2. Step 2: Convert to fraction form
    83,636/202,282 = 202,282/x
  3. Step 3: Cross multiply
    83,636x = 202,282 × 202,282
  4. Step 4: Simplify right side
    83,636x = 40,918,007,524
  5. Step 5: Solve for x
    x = 40,918,007,524/83,636
  6. Step 6: Final answer
    x = 489,239.17

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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.