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Finding the Third Proportional to 232,003.50 and 352,866

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Solution

The third proportional to 232,003.50 and 352,866 is: 536,691.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,003.50 : 352,866 = 352,866 : x
  2. Step 2: Convert to fraction form
    232,003.50/352,866 = 352,866/x
  3. Step 3: Cross multiply
    232,003.50x = 352,866 × 352,866
  4. Step 4: Simplify right side
    232,003.50x = 124,514,413,956
  5. Step 5: Solve for x
    x = 124,514,413,956/232,003.50
  6. Step 6: Final answer
    x = 536,691.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.