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Finding the Third Proportional to 232,505 and 329,086

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Solution

The third proportional to 232,505 and 329,086 is: 465,786.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,505 : 329,086 = 329,086 : x
  2. Step 2: Convert to fraction form
    232,505/329,086 = 329,086/x
  3. Step 3: Cross multiply
    232,505x = 329,086 × 329,086
  4. Step 4: Simplify right side
    232,505x = 108,297,595,396
  5. Step 5: Solve for x
    x = 108,297,595,396/232,505
  6. Step 6: Final answer
    x = 465,786.09

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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.