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Finding the Third Proportional to 202,012 and 443,372

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Solution

The third proportional to 202,012 and 443,372 is: 973,104.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,012 : 443,372 = 443,372 : x
  2. Step 2: Convert to fraction form
    202,012/443,372 = 443,372/x
  3. Step 3: Cross multiply
    202,012x = 443,372 × 443,372
  4. Step 4: Simplify right side
    202,012x = 196,578,730,384
  5. Step 5: Solve for x
    x = 196,578,730,384/202,012
  6. Step 6: Final answer
    x = 973,104.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.