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Finding the Third Proportional to 177,589.50 and 270,814.50

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Solution

The third proportional to 177,589.50 and 270,814.50 is: 412,977.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,589.50 : 270,814.50 = 270,814.50 : x
  2. Step 2: Convert to fraction form
    177,589.50/270,814.50 = 270,814.50/x
  3. Step 3: Cross multiply
    177,589.50x = 270,814.50 × 270,814.50
  4. Step 4: Simplify right side
    177,589.50x = 73,340,493,410.25
  5. Step 5: Solve for x
    x = 73,340,493,410.25/177,589.50
  6. Step 6: Final answer
    x = 412,977.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.