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Finding the Third Proportional to 177,429 and 384,393

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Solution

The third proportional to 177,429 and 384,393 is: 832,772.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,429 : 384,393 = 384,393 : x
  2. Step 2: Convert to fraction form
    177,429/384,393 = 384,393/x
  3. Step 3: Cross multiply
    177,429x = 384,393 × 384,393
  4. Step 4: Simplify right side
    177,429x = 147,757,978,449
  5. Step 5: Solve for x
    x = 147,757,978,449/177,429
  6. Step 6: Final answer
    x = 832,772.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.