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Finding the Third Proportional to 105,224 and 225,252

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Solution

The third proportional to 105,224 and 225,252 is: 482,194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,224 : 225,252 = 225,252 : x
  2. Step 2: Convert to fraction form
    105,224/225,252 = 225,252/x
  3. Step 3: Cross multiply
    105,224x = 225,252 × 225,252
  4. Step 4: Simplify right side
    105,224x = 50,738,463,504
  5. Step 5: Solve for x
    x = 50,738,463,504/105,224
  6. Step 6: Final answer
    x = 482,194.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.