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Finding the Third Proportional to 150,913.50 and 204,225

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Solution

The third proportional to 150,913.50 and 204,225 is: 276,369.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,913.50 : 204,225 = 204,225 : x
  2. Step 2: Convert to fraction form
    150,913.50/204,225 = 204,225/x
  3. Step 3: Cross multiply
    150,913.50x = 204,225 × 204,225
  4. Step 4: Simplify right side
    150,913.50x = 41,707,850,625
  5. Step 5: Solve for x
    x = 41,707,850,625/150,913.50
  6. Step 6: Final answer
    x = 276,369.25

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.