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Finding the Third Proportional to 204,012 and 298,188

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Solution

The third proportional to 204,012 and 298,188 is: 435,837.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,012 : 298,188 = 298,188 : x
  2. Step 2: Convert to fraction form
    204,012/298,188 = 298,188/x
  3. Step 3: Cross multiply
    204,012x = 298,188 × 298,188
  4. Step 4: Simplify right side
    204,012x = 88,916,083,344
  5. Step 5: Solve for x
    x = 88,916,083,344/204,012
  6. Step 6: Final answer
    x = 435,837.52

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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.