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Finding the Third Proportional to 150,912 and 204,224

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Solution

The third proportional to 150,912 and 204,224 is: 276,369.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,912 : 204,224 = 204,224 : x
  2. Step 2: Convert to fraction form
    150,912/204,224 = 204,224/x
  3. Step 3: Cross multiply
    150,912x = 204,224 × 204,224
  4. Step 4: Simplify right side
    150,912x = 41,707,442,176
  5. Step 5: Solve for x
    x = 41,707,442,176/150,912
  6. Step 6: Final answer
    x = 276,369.29

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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.