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Finding the Third Proportional to 106,227 and 232,866

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Solution

The third proportional to 106,227 and 232,866 is: 510,478.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,227 : 232,866 = 232,866 : x
  2. Step 2: Convert to fraction form
    106,227/232,866 = 232,866/x
  3. Step 3: Cross multiply
    106,227x = 232,866 × 232,866
  4. Step 4: Simplify right side
    106,227x = 54,226,573,956
  5. Step 5: Solve for x
    x = 54,226,573,956/106,227
  6. Step 6: Final answer
    x = 510,478.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.