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Finding the Third Proportional to 232,178 and 352,227

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Solution

The third proportional to 232,178 and 352,227 is: 534,348.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,178 : 352,227 = 352,227 : x
  2. Step 2: Convert to fraction form
    232,178/352,227 = 352,227/x
  3. Step 3: Cross multiply
    232,178x = 352,227 × 352,227
  4. Step 4: Simplify right side
    232,178x = 124,063,859,529
  5. Step 5: Solve for x
    x = 124,063,859,529/232,178
  6. Step 6: Final answer
    x = 534,348.04

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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.