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Finding the Third Proportional to 204,136 and 443,324

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Solution

The third proportional to 204,136 and 443,324 is: 962,770.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,136 : 443,324 = 443,324 : x
  2. Step 2: Convert to fraction form
    204,136/443,324 = 443,324/x
  3. Step 3: Cross multiply
    204,136x = 443,324 × 443,324
  4. Step 4: Simplify right side
    204,136x = 196,536,168,976
  5. Step 5: Solve for x
    x = 196,536,168,976/204,136
  6. Step 6: Final answer
    x = 962,770.75

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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.