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Finding the Third Proportional to 105,269 and 233,866

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Solution

The third proportional to 105,269 and 233,866 is: 519,557.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,269 : 233,866 = 233,866 : x
  2. Step 2: Convert to fraction form
    105,269/233,866 = 233,866/x
  3. Step 3: Cross multiply
    105,269x = 233,866 × 233,866
  4. Step 4: Simplify right side
    105,269x = 54,693,305,956
  5. Step 5: Solve for x
    x = 54,693,305,956/105,269
  6. Step 6: Final answer
    x = 519,557.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.