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Finding the Third Proportional to 126,451.76 and 270,837.84

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Solution

The third proportional to 126,451.76 and 270,837.84 is: 580,087.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,451.76 : 270,837.84 = 270,837.84 : x
  2. Step 2: Convert to fraction form
    126,451.76/270,837.84 = 270,837.84/x
  3. Step 3: Cross multiply
    126,451.76x = 270,837.84 × 270,837.84
  4. Step 4: Simplify right side
    126,451.76x = 73,353,137,607.15
  5. Step 5: Solve for x
    x = 73,353,137,607.15/126,451.76
  6. Step 6: Final answer
    x = 580,087.92

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.