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Finding the Third Proportional to 83,624 and 202,253

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Solution

The third proportional to 83,624 and 202,253 is: 489,169.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,624 : 202,253 = 202,253 : x
  2. Step 2: Convert to fraction form
    83,624/202,253 = 202,253/x
  3. Step 3: Cross multiply
    83,624x = 202,253 × 202,253
  4. Step 4: Simplify right side
    83,624x = 40,906,276,009
  5. Step 5: Solve for x
    x = 40,906,276,009/83,624
  6. Step 6: Final answer
    x = 489,169.09

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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.