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Finding the Third Proportional to 204,525 and 297,675

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Solution

The third proportional to 204,525 and 297,675 is: 433,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,525 : 297,675 = 297,675 : x
  2. Step 2: Convert to fraction form
    204,525/297,675 = 297,675/x
  3. Step 3: Cross multiply
    204,525x = 297,675 × 297,675
  4. Step 4: Simplify right side
    204,525x = 88,610,405,625
  5. Step 5: Solve for x
    x = 88,610,405,625/204,525
  6. Step 6: Final answer
    x = 433,249.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.