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Finding the Third Proportional to 232,042 and 369,227

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Solution

The third proportional to 232,042 and 369,227 is: 587,516.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,042 : 369,227 = 369,227 : x
  2. Step 2: Convert to fraction form
    232,042/369,227 = 369,227/x
  3. Step 3: Cross multiply
    232,042x = 369,227 × 369,227
  4. Step 4: Simplify right side
    232,042x = 136,328,577,529
  5. Step 5: Solve for x
    x = 136,328,577,529/232,042
  6. Step 6: Final answer
    x = 587,516.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.