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Finding the Third Proportional to 83,446.50 and 173,799

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Solution

The third proportional to 83,446.50 and 173,799 is: 361,981.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,446.50 : 173,799 = 173,799 : x
  2. Step 2: Convert to fraction form
    83,446.50/173,799 = 173,799/x
  3. Step 3: Cross multiply
    83,446.50x = 173,799 × 173,799
  4. Step 4: Simplify right side
    83,446.50x = 30,206,092,401
  5. Step 5: Solve for x
    x = 30,206,092,401/83,446.50
  6. Step 6: Final answer
    x = 361,981.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.