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Finding the Third Proportional to 232,503 and 329,082

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Solution

The third proportional to 232,503 and 329,082 is: 465,778.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,503 : 329,082 = 329,082 : x
  2. Step 2: Convert to fraction form
    232,503/329,082 = 329,082/x
  3. Step 3: Cross multiply
    232,503x = 329,082 × 329,082
  4. Step 4: Simplify right side
    232,503x = 108,294,962,724
  5. Step 5: Solve for x
    x = 108,294,962,724/232,503
  6. Step 6: Final answer
    x = 465,778.78

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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.