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Finding the Third Proportional to 104,252 and 227,623

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Solution

The third proportional to 104,252 and 227,623 is: 496,990.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,252 : 227,623 = 227,623 : x
  2. Step 2: Convert to fraction form
    104,252/227,623 = 227,623/x
  3. Step 3: Cross multiply
    104,252x = 227,623 × 227,623
  4. Step 4: Simplify right side
    104,252x = 51,812,230,129
  5. Step 5: Solve for x
    x = 51,812,230,129/104,252
  6. Step 6: Final answer
    x = 496,990.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.