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Finding the Third Proportional to 134,676 and 199,404

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Solution

The third proportional to 134,676 and 199,404 is: 295,241.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,676 : 199,404 = 199,404 : x
  2. Step 2: Convert to fraction form
    134,676/199,404 = 199,404/x
  3. Step 3: Cross multiply
    134,676x = 199,404 × 199,404
  4. Step 4: Simplify right side
    134,676x = 39,761,955,216
  5. Step 5: Solve for x
    x = 39,761,955,216/134,676
  6. Step 6: Final answer
    x = 295,241.58

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.