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Finding the Third Proportional to 193,694 and 284,631

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Solution

The third proportional to 193,694 and 284,631 is: 418,261.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,694 : 284,631 = 284,631 : x
  2. Step 2: Convert to fraction form
    193,694/284,631 = 284,631/x
  3. Step 3: Cross multiply
    193,694x = 284,631 × 284,631
  4. Step 4: Simplify right side
    193,694x = 81,014,806,161
  5. Step 5: Solve for x
    x = 81,014,806,161/193,694
  6. Step 6: Final answer
    x = 418,261.83

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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.