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Finding the Third Proportional to 135,512 and 204,268

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Solution

The third proportional to 135,512 and 204,268 is: 307,909.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,512 : 204,268 = 204,268 : x
  2. Step 2: Convert to fraction form
    135,512/204,268 = 204,268/x
  3. Step 3: Cross multiply
    135,512x = 204,268 × 204,268
  4. Step 4: Simplify right side
    135,512x = 41,725,415,824
  5. Step 5: Solve for x
    x = 41,725,415,824/135,512
  6. Step 6: Final answer
    x = 307,909.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.