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Finding the Third Proportional to 232,227.56 and 384,342.19

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Solution

The third proportional to 232,227.56 and 384,342.19 is: 636,095.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,227.56 : 384,342.19 = 384,342.19 : x
  2. Step 2: Convert to fraction form
    232,227.56/384,342.19 = 384,342.19/x
  3. Step 3: Cross multiply
    232,227.56x = 384,342.19 × 384,342.19
  4. Step 4: Simplify right side
    232,227.56x = 147,718,917,092.29
  5. Step 5: Solve for x
    x = 147,718,917,092.29/232,227.56
  6. Step 6: Final answer
    x = 636,095.54

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.