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Finding the Third Proportional to 177,310.69 and 384,760.69

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Solution

The third proportional to 177,310.69 and 384,760.69 is: 834,923.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,310.69 : 384,760.69 = 384,760.69 : x
  2. Step 2: Convert to fraction form
    177,310.69/384,760.69 = 384,760.69/x
  3. Step 3: Cross multiply
    177,310.69x = 384,760.69 × 384,760.69
  4. Step 4: Simplify right side
    177,310.69x = 148,040,786,645.47
  5. Step 5: Solve for x
    x = 148,040,786,645.47/177,310.69
  6. Step 6: Final answer
    x = 834,923.09

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