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Finding the Third Proportional to 126,914 and 278,928.50

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Solution

The third proportional to 126,914 and 278,928.50 is: 613,022.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,914 : 278,928.50 = 278,928.50 : x
  2. Step 2: Convert to fraction form
    126,914/278,928.50 = 278,928.50/x
  3. Step 3: Cross multiply
    126,914x = 278,928.50 × 278,928.50
  4. Step 4: Simplify right side
    126,914x = 77,801,108,112.25
  5. Step 5: Solve for x
    x = 77,801,108,112.25/126,914
  6. Step 6: Final answer
    x = 613,022.27

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.