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Finding the Third Proportional to 135,336 and 203,016

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Solution

The third proportional to 135,336 and 203,016 is: 304,542.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,336 : 203,016 = 203,016 : x
  2. Step 2: Convert to fraction form
    135,336/203,016 = 203,016/x
  3. Step 3: Cross multiply
    135,336x = 203,016 × 203,016
  4. Step 4: Simplify right side
    135,336x = 41,215,496,256
  5. Step 5: Solve for x
    x = 41,215,496,256/135,336
  6. Step 6: Final answer
    x = 304,542.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.