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Finding the Third Proportional to 104,866 and 227,226

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Solution

The third proportional to 104,866 and 227,226 is: 492,358.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,866 : 227,226 = 227,226 : x
  2. Step 2: Convert to fraction form
    104,866/227,226 = 227,226/x
  3. Step 3: Cross multiply
    104,866x = 227,226 × 227,226
  4. Step 4: Simplify right side
    104,866x = 51,631,655,076
  5. Step 5: Solve for x
    x = 51,631,655,076/104,866
  6. Step 6: Final answer
    x = 492,358.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.