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Finding the Third Proportional to 177,795.50 and 419,702.75

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Solution

The third proportional to 177,795.50 and 419,702.75 is: 990,747.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,795.50 : 419,702.75 = 419,702.75 : x
  2. Step 2: Convert to fraction form
    177,795.50/419,702.75 = 419,702.75/x
  3. Step 3: Cross multiply
    177,795.50x = 419,702.75 × 419,702.75
  4. Step 4: Simplify right side
    177,795.50x = 176,150,398,357.56
  5. Step 5: Solve for x
    x = 176,150,398,357.56/177,795.50
  6. Step 6: Final answer
    x = 990,747.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.