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Finding the Third Proportional to 199,540.50 and 408,403.50

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Solution

The third proportional to 199,540.50 and 408,403.50 is: 835,887.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,540.50 : 408,403.50 = 408,403.50 : x
  2. Step 2: Convert to fraction form
    199,540.50/408,403.50 = 408,403.50/x
  3. Step 3: Cross multiply
    199,540.50x = 408,403.50 × 408,403.50
  4. Step 4: Simplify right side
    199,540.50x = 166,793,418,812.25
  5. Step 5: Solve for x
    x = 166,793,418,812.25/199,540.50
  6. Step 6: Final answer
    x = 835,887.55

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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.