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Finding the Third Proportional to 193,524 and 284,593

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Solution

The third proportional to 193,524 and 284,593 is: 418,517.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,524 : 284,593 = 284,593 : x
  2. Step 2: Convert to fraction form
    193,524/284,593 = 284,593/x
  3. Step 3: Cross multiply
    193,524x = 284,593 × 284,593
  4. Step 4: Simplify right side
    193,524x = 80,993,175,649
  5. Step 5: Solve for x
    x = 80,993,175,649/193,524
  6. Step 6: Final answer
    x = 418,517.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.