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Finding the Third Proportional to 193,186.50 and 284,193

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Solution

The third proportional to 193,186.50 and 284,193 is: 418,070.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,186.50 : 284,193 = 284,193 : x
  2. Step 2: Convert to fraction form
    193,186.50/284,193 = 284,193/x
  3. Step 3: Cross multiply
    193,186.50x = 284,193 × 284,193
  4. Step 4: Simplify right side
    193,186.50x = 80,765,661,249
  5. Step 5: Solve for x
    x = 80,765,661,249/193,186.50
  6. Step 6: Final answer
    x = 418,070.94

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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.