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Finding the Third Proportional to 232,497 and 329,073

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Solution

The third proportional to 232,497 and 329,073 is: 465,765.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,497 : 329,073 = 329,073 : x
  2. Step 2: Convert to fraction form
    232,497/329,073 = 329,073/x
  3. Step 3: Cross multiply
    232,497x = 329,073 × 329,073
  4. Step 4: Simplify right side
    232,497x = 108,289,039,329
  5. Step 5: Solve for x
    x = 108,289,039,329/232,497
  6. Step 6: Final answer
    x = 465,765.32

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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.