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Finding the Third Proportional to 180,558 and 270,846

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Solution

The third proportional to 180,558 and 270,846 is: 406,282.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,558 : 270,846 = 270,846 : x
  2. Step 2: Convert to fraction form
    180,558/270,846 = 270,846/x
  3. Step 3: Cross multiply
    180,558x = 270,846 × 270,846
  4. Step 4: Simplify right side
    180,558x = 73,357,555,716
  5. Step 5: Solve for x
    x = 73,357,555,716/180,558
  6. Step 6: Final answer
    x = 406,282.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.