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Finding the Third Proportional to 177,795 and 250,060.50

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Solution

The third proportional to 177,795 and 250,060.50 is: 351,698.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,795 : 250,060.50 = 250,060.50 : x
  2. Step 2: Convert to fraction form
    177,795/250,060.50 = 250,060.50/x
  3. Step 3: Cross multiply
    177,795x = 250,060.50 × 250,060.50
  4. Step 4: Simplify right side
    177,795x = 62,530,253,660.25
  5. Step 5: Solve for x
    x = 62,530,253,660.25/177,795
  6. Step 6: Final answer
    x = 351,698.61

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