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Finding the Third Proportional to 135,198 and 293,652

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Solution

The third proportional to 135,198 and 293,652 is: 637,816.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,198 : 293,652 = 293,652 : x
  2. Step 2: Convert to fraction form
    135,198/293,652 = 293,652/x
  3. Step 3: Cross multiply
    135,198x = 293,652 × 293,652
  4. Step 4: Simplify right side
    135,198x = 86,231,497,104
  5. Step 5: Solve for x
    x = 86,231,497,104/135,198
  6. Step 6: Final answer
    x = 637,816.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.