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Finding the Third Proportional to 177,793 and 251,569

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Solution

The third proportional to 177,793 and 251,569 is: 355,958.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,793 : 251,569 = 251,569 : x
  2. Step 2: Convert to fraction form
    177,793/251,569 = 251,569/x
  3. Step 3: Cross multiply
    177,793x = 251,569 × 251,569
  4. Step 4: Simplify right side
    177,793x = 63,286,961,761
  5. Step 5: Solve for x
    x = 63,286,961,761/177,793
  6. Step 6: Final answer
    x = 355,958.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.