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Finding the Third Proportional to 132,840 and 199,404

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Solution

The third proportional to 132,840 and 199,404 is: 299,322.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,840 : 199,404 = 199,404 : x
  2. Step 2: Convert to fraction form
    132,840/199,404 = 199,404/x
  3. Step 3: Cross multiply
    132,840x = 199,404 × 199,404
  4. Step 4: Simplify right side
    132,840x = 39,761,955,216
  5. Step 5: Solve for x
    x = 39,761,955,216/132,840
  6. Step 6: Final answer
    x = 299,322.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.