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Finding the Third Proportional to 134,668 and 199,396

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Solution

The third proportional to 134,668 and 199,396 is: 295,235.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,668 : 199,396 = 199,396 : x
  2. Step 2: Convert to fraction form
    134,668/199,396 = 199,396/x
  3. Step 3: Cross multiply
    134,668x = 199,396 × 199,396
  4. Step 4: Simplify right side
    134,668x = 39,758,764,816
  5. Step 5: Solve for x
    x = 39,758,764,816/134,668
  6. Step 6: Final answer
    x = 295,235.43

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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.