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Finding the Third Proportional to 221,960.25 and 481,269

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Solution

The third proportional to 221,960.25 and 481,269 is: 1,043,519.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,960.25 : 481,269 = 481,269 : x
  2. Step 2: Convert to fraction form
    221,960.25/481,269 = 481,269/x
  3. Step 3: Cross multiply
    221,960.25x = 481,269 × 481,269
  4. Step 4: Simplify right side
    221,960.25x = 231,619,850,361
  5. Step 5: Solve for x
    x = 231,619,850,361/221,960.25
  6. Step 6: Final answer
    x = 1,043,519.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.