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Finding the Third Proportional to 135,504 and 204,255

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Solution

The third proportional to 135,504 and 204,255 is: 307,888.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,504 : 204,255 = 204,255 : x
  2. Step 2: Convert to fraction form
    135,504/204,255 = 204,255/x
  3. Step 3: Cross multiply
    135,504x = 204,255 × 204,255
  4. Step 4: Simplify right side
    135,504x = 41,720,105,025
  5. Step 5: Solve for x
    x = 41,720,105,025/135,504
  6. Step 6: Final answer
    x = 307,888.37

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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.