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Finding the Third Proportional to 103,185 and 225,812

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Solution

The third proportional to 103,185 and 225,812 is: 494,171.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,185 : 225,812 = 225,812 : x
  2. Step 2: Convert to fraction form
    103,185/225,812 = 225,812/x
  3. Step 3: Cross multiply
    103,185x = 225,812 × 225,812
  4. Step 4: Simplify right side
    103,185x = 50,991,059,344
  5. Step 5: Solve for x
    x = 50,991,059,344/103,185
  6. Step 6: Final answer
    x = 494,171.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.