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Finding the Third Proportional to 103,222 and 226,743

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Solution

The third proportional to 103,222 and 226,743 is: 498,075.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,222 : 226,743 = 226,743 : x
  2. Step 2: Convert to fraction form
    103,222/226,743 = 226,743/x
  3. Step 3: Cross multiply
    103,222x = 226,743 × 226,743
  4. Step 4: Simplify right side
    103,222x = 51,412,388,049
  5. Step 5: Solve for x
    x = 51,412,388,049/103,222
  6. Step 6: Final answer
    x = 498,075.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.