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Finding the Third Proportional to 193,493 and 298,866

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Solution

The third proportional to 193,493 and 298,866 is: 461,623.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,493 : 298,866 = 298,866 : x
  2. Step 2: Convert to fraction form
    193,493/298,866 = 298,866/x
  3. Step 3: Cross multiply
    193,493x = 298,866 × 298,866
  4. Step 4: Simplify right side
    193,493x = 89,320,885,956
  5. Step 5: Solve for x
    x = 89,320,885,956/193,493
  6. Step 6: Final answer
    x = 461,623.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.