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Finding the Third Proportional to 226,100 and 349,936

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Solution

The third proportional to 226,100 and 349,936 is: 541,597.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,100 : 349,936 = 349,936 : x
  2. Step 2: Convert to fraction form
    226,100/349,936 = 349,936/x
  3. Step 3: Cross multiply
    226,100x = 349,936 × 349,936
  4. Step 4: Simplify right side
    226,100x = 122,455,204,096
  5. Step 5: Solve for x
    x = 122,455,204,096/226,100
  6. Step 6: Final answer
    x = 541,597.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.