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Finding the Third Proportional to 133,859.25 and 278,815.50

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Solution

The third proportional to 133,859.25 and 278,815.50 is: 580,744.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,859.25 : 278,815.50 = 278,815.50 : x
  2. Step 2: Convert to fraction form
    133,859.25/278,815.50 = 278,815.50/x
  3. Step 3: Cross multiply
    133,859.25x = 278,815.50 × 278,815.50
  4. Step 4: Simplify right side
    133,859.25x = 77,738,083,040.25
  5. Step 5: Solve for x
    x = 77,738,083,040.25/133,859.25
  6. Step 6: Final answer
    x = 580,744.95

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.