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Finding the Third Proportional to 193,686 and 284,619

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Solution

The third proportional to 193,686 and 284,619 is: 418,243.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,686 : 284,619 = 284,619 : x
  2. Step 2: Convert to fraction form
    193,686/284,619 = 284,619/x
  3. Step 3: Cross multiply
    193,686x = 284,619 × 284,619
  4. Step 4: Simplify right side
    193,686x = 81,007,975,161
  5. Step 5: Solve for x
    x = 81,007,975,161/193,686
  6. Step 6: Final answer
    x = 418,243.83

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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.