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Finding the Third Proportional to 150,648.75 and 199,930.50

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Solution

The third proportional to 150,648.75 and 199,930.50 is: 265,333.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,648.75 : 199,930.50 = 199,930.50 : x
  2. Step 2: Convert to fraction form
    150,648.75/199,930.50 = 199,930.50/x
  3. Step 3: Cross multiply
    150,648.75x = 199,930.50 × 199,930.50
  4. Step 4: Simplify right side
    150,648.75x = 39,972,204,830.25
  5. Step 5: Solve for x
    x = 39,972,204,830.25/150,648.75
  6. Step 6: Final answer
    x = 265,333.80

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.