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Finding the Third Proportional to 105,223 and 225,249

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Solution

The third proportional to 105,223 and 225,249 is: 482,186.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,223 : 225,249 = 225,249 : x
  2. Step 2: Convert to fraction form
    105,223/225,249 = 225,249/x
  3. Step 3: Cross multiply
    105,223x = 225,249 × 225,249
  4. Step 4: Simplify right side
    105,223x = 50,737,112,001
  5. Step 5: Solve for x
    x = 50,737,112,001/105,223
  6. Step 6: Final answer
    x = 482,186.52

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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.