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Finding the Third Proportional to 177,296 and 384,132

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Solution

The third proportional to 177,296 and 384,132 is: 832,265.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,296 : 384,132 = 384,132 : x
  2. Step 2: Convert to fraction form
    177,296/384,132 = 384,132/x
  3. Step 3: Cross multiply
    177,296x = 384,132 × 384,132
  4. Step 4: Simplify right side
    177,296x = 147,557,393,424
  5. Step 5: Solve for x
    x = 147,557,393,424/177,296
  6. Step 6: Final answer
    x = 832,265.78

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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.