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Finding the Third Proportional to 230,406 and 329,481

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Solution

The third proportional to 230,406 and 329,481 is: 471,158.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,406 : 329,481 = 329,481 : x
  2. Step 2: Convert to fraction form
    230,406/329,481 = 329,481/x
  3. Step 3: Cross multiply
    230,406x = 329,481 × 329,481
  4. Step 4: Simplify right side
    230,406x = 108,557,729,361
  5. Step 5: Solve for x
    x = 108,557,729,361/230,406
  6. Step 6: Final answer
    x = 471,158.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.