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Finding the Third Proportional to 193,186 and 284,192

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Solution

The third proportional to 193,186 and 284,192 is: 418,069.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,186 : 284,192 = 284,192 : x
  2. Step 2: Convert to fraction form
    193,186/284,192 = 284,192/x
  3. Step 3: Cross multiply
    193,186x = 284,192 × 284,192
  4. Step 4: Simplify right side
    193,186x = 80,765,092,864
  5. Step 5: Solve for x
    x = 80,765,092,864/193,186
  6. Step 6: Final answer
    x = 418,069.08

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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.