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Finding the Third Proportional to 135,717.40 and 268,028.68

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Solution

The third proportional to 135,717.40 and 268,028.68 is: 529,330.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,717.40 : 268,028.68 = 268,028.68 : x
  2. Step 2: Convert to fraction form
    135,717.40/268,028.68 = 268,028.68/x
  3. Step 3: Cross multiply
    135,717.40x = 268,028.68 × 268,028.68
  4. Step 4: Simplify right side
    135,717.40x = 71,839,375,229.00
  5. Step 5: Solve for x
    x = 71,839,375,229.00/135,717.40
  6. Step 6: Final answer
    x = 529,330.62

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.