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Finding the Third Proportional to 204,045 and 444,229

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Solution

The third proportional to 204,045 and 444,229 is: 967,136.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,045 : 444,229 = 444,229 : x
  2. Step 2: Convert to fraction form
    204,045/444,229 = 444,229/x
  3. Step 3: Cross multiply
    204,045x = 444,229 × 444,229
  4. Step 4: Simplify right side
    204,045x = 197,339,404,441
  5. Step 5: Solve for x
    x = 197,339,404,441/204,045
  6. Step 6: Final answer
    x = 967,136.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.