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Finding the Third Proportional to 199,527.75 and 408,377.25

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Solution

The third proportional to 199,527.75 and 408,377.25 is: 835,833.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,527.75 : 408,377.25 = 408,377.25 : x
  2. Step 2: Convert to fraction form
    199,527.75/408,377.25 = 408,377.25/x
  3. Step 3: Cross multiply
    199,527.75x = 408,377.25 × 408,377.25
  4. Step 4: Simplify right side
    199,527.75x = 166,771,978,317.56
  5. Step 5: Solve for x
    x = 166,771,978,317.56/199,527.75
  6. Step 6: Final answer
    x = 835,833.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.