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Finding the Third Proportional to 278,131.50 and 330,619.50

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Solution

The third proportional to 278,131.50 and 330,619.50 is: 393,012.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,131.50 : 330,619.50 = 330,619.50 : x
  2. Step 2: Convert to fraction form
    278,131.50/330,619.50 = 330,619.50/x
  3. Step 3: Cross multiply
    278,131.50x = 330,619.50 × 330,619.50
  4. Step 4: Simplify right side
    278,131.50x = 109,309,253,780.25
  5. Step 5: Solve for x
    x = 109,309,253,780.25/278,131.50
  6. Step 6: Final answer
    x = 393,012.85

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.