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Finding the Third Proportional to 179,743.50 and 275,069.25

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Solution

The third proportional to 179,743.50 and 275,069.25 is: 420,950.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,743.50 : 275,069.25 = 275,069.25 : x
  2. Step 2: Convert to fraction form
    179,743.50/275,069.25 = 275,069.25/x
  3. Step 3: Cross multiply
    179,743.50x = 275,069.25 × 275,069.25
  4. Step 4: Simplify right side
    179,743.50x = 75,663,092,295.56
  5. Step 5: Solve for x
    x = 75,663,092,295.56/179,743.50
  6. Step 6: Final answer
    x = 420,950.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.