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Finding the Third Proportional to 149,723 and 226,144

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Solution

The third proportional to 149,723 and 226,144 is: 341,571.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,723 : 226,144 = 226,144 : x
  2. Step 2: Convert to fraction form
    149,723/226,144 = 226,144/x
  3. Step 3: Cross multiply
    149,723x = 226,144 × 226,144
  4. Step 4: Simplify right side
    149,723x = 51,141,108,736
  5. Step 5: Solve for x
    x = 51,141,108,736/149,723
  6. Step 6: Final answer
    x = 341,571.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.