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Finding the Third Proportional to 185,793.75 and 408,584.25

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Solution

The third proportional to 185,793.75 and 408,584.25 is: 898,529.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,793.75 : 408,584.25 = 408,584.25 : x
  2. Step 2: Convert to fraction form
    185,793.75/408,584.25 = 408,584.25/x
  3. Step 3: Cross multiply
    185,793.75x = 408,584.25 × 408,584.25
  4. Step 4: Simplify right side
    185,793.75x = 166,941,089,348.06
  5. Step 5: Solve for x
    x = 166,941,089,348.06/185,793.75
  6. Step 6: Final answer
    x = 898,529.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.