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Finding the Third Proportional to 204,008 and 337,136

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Solution

The third proportional to 204,008 and 337,136 is: 557,138.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,008 : 337,136 = 337,136 : x
  2. Step 2: Convert to fraction form
    204,008/337,136 = 337,136/x
  3. Step 3: Cross multiply
    204,008x = 337,136 × 337,136
  4. Step 4: Simplify right side
    204,008x = 113,660,682,496
  5. Step 5: Solve for x
    x = 113,660,682,496/204,008
  6. Step 6: Final answer
    x = 557,138.36

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.