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Finding the Third Proportional to 124,652 and 274,234

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Solution

The third proportional to 124,652 and 274,234 is: 603,313.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,652 : 274,234 = 274,234 : x
  2. Step 2: Convert to fraction form
    124,652/274,234 = 274,234/x
  3. Step 3: Cross multiply
    124,652x = 274,234 × 274,234
  4. Step 4: Simplify right side
    124,652x = 75,204,286,756
  5. Step 5: Solve for x
    x = 75,204,286,756/124,652
  6. Step 6: Final answer
    x = 603,313.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.