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Finding the Third Proportional to 205,131 and 443,068

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Solution

The third proportional to 205,131 and 443,068 is: 956,994.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,131 : 443,068 = 443,068 : x
  2. Step 2: Convert to fraction form
    205,131/443,068 = 443,068/x
  3. Step 3: Cross multiply
    205,131x = 443,068 × 443,068
  4. Step 4: Simplify right side
    205,131x = 196,309,252,624
  5. Step 5: Solve for x
    x = 196,309,252,624/205,131
  6. Step 6: Final answer
    x = 956,994.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.