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Finding the Third Proportional to 232,938 and 329,653

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Solution

The third proportional to 232,938 and 329,653 is: 466,523.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,938 : 329,653 = 329,653 : x
  2. Step 2: Convert to fraction form
    232,938/329,653 = 329,653/x
  3. Step 3: Cross multiply
    232,938x = 329,653 × 329,653
  4. Step 4: Simplify right side
    232,938x = 108,671,100,409
  5. Step 5: Solve for x
    x = 108,671,100,409/232,938
  6. Step 6: Final answer
    x = 466,523.71

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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.