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Finding the Third Proportional to 226,048 and 350,228

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Solution

The third proportional to 226,048 and 350,228 is: 542,626.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,048 : 350,228 = 350,228 : x
  2. Step 2: Convert to fraction form
    226,048/350,228 = 350,228/x
  3. Step 3: Cross multiply
    226,048x = 350,228 × 350,228
  4. Step 4: Simplify right side
    226,048x = 122,659,651,984
  5. Step 5: Solve for x
    x = 122,659,651,984/226,048
  6. Step 6: Final answer
    x = 542,626.57

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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.