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Finding the Third Proportional to 193,738 and 261,675

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Solution

The third proportional to 193,738 and 261,675 is: 353,435.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,738 : 261,675 = 261,675 : x
  2. Step 2: Convert to fraction form
    193,738/261,675 = 261,675/x
  3. Step 3: Cross multiply
    193,738x = 261,675 × 261,675
  4. Step 4: Simplify right side
    193,738x = 68,473,805,625
  5. Step 5: Solve for x
    x = 68,473,805,625/193,738
  6. Step 6: Final answer
    x = 353,435.08

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.