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Finding the Third Proportional to 230,416 and 329,496

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Solution

The third proportional to 230,416 and 329,496 is: 471,180.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,416 : 329,496 = 329,496 : x
  2. Step 2: Convert to fraction form
    230,416/329,496 = 329,496/x
  3. Step 3: Cross multiply
    230,416x = 329,496 × 329,496
  4. Step 4: Simplify right side
    230,416x = 108,567,614,016
  5. Step 5: Solve for x
    x = 108,567,614,016/230,416
  6. Step 6: Final answer
    x = 471,180.88

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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.