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Finding the Third Proportional to 226,222 and 349,960

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Solution

The third proportional to 226,222 and 349,960 is: 541,379.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,222 : 349,960 = 349,960 : x
  2. Step 2: Convert to fraction form
    226,222/349,960 = 349,960/x
  3. Step 3: Cross multiply
    226,222x = 349,960 × 349,960
  4. Step 4: Simplify right side
    226,222x = 122,472,001,600
  5. Step 5: Solve for x
    x = 122,472,001,600/226,222
  6. Step 6: Final answer
    x = 541,379.71

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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.