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Finding the Third Proportional to 232,496.25 and 329,072.63

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Solution

The third proportional to 232,496.25 and 329,072.63 is: 465,765.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,496.25 : 329,072.63 = 329,072.63 : x
  2. Step 2: Convert to fraction form
    232,496.25/329,072.63 = 329,072.63/x
  3. Step 3: Cross multiply
    232,496.25x = 329,072.63 × 329,072.63
  4. Step 4: Simplify right side
    232,496.25x = 108,288,792,524.39
  5. Step 5: Solve for x
    x = 108,288,792,524.39/232,496.25
  6. Step 6: Final answer
    x = 465,765.76

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.