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Finding the Third Proportional to 227,450 and 349,923

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Solution

The third proportional to 227,450 and 349,923 is: 538,342.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,450 : 349,923 = 349,923 : x
  2. Step 2: Convert to fraction form
    227,450/349,923 = 349,923/x
  3. Step 3: Cross multiply
    227,450x = 349,923 × 349,923
  4. Step 4: Simplify right side
    227,450x = 122,446,105,929
  5. Step 5: Solve for x
    x = 122,446,105,929/227,450
  6. Step 6: Final answer
    x = 538,342.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.