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Finding the Third Proportional to 204,131 and 443,315

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Solution

The third proportional to 204,131 and 443,315 is: 962,755.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,131 : 443,315 = 443,315 : x
  2. Step 2: Convert to fraction form
    204,131/443,315 = 443,315/x
  3. Step 3: Cross multiply
    204,131x = 443,315 × 443,315
  4. Step 4: Simplify right side
    204,131x = 196,528,189,225
  5. Step 5: Solve for x
    x = 196,528,189,225/204,131
  6. Step 6: Final answer
    x = 962,755.24

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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.