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Finding the Third Proportional to 180,589.50 and 275,697

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Solution

The third proportional to 180,589.50 and 275,697 is: 420,892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,589.50 : 275,697 = 275,697 : x
  2. Step 2: Convert to fraction form
    180,589.50/275,697 = 275,697/x
  3. Step 3: Cross multiply
    180,589.50x = 275,697 × 275,697
  4. Step 4: Simplify right side
    180,589.50x = 76,008,835,809
  5. Step 5: Solve for x
    x = 76,008,835,809/180,589.50
  6. Step 6: Final answer
    x = 420,892.89

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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.