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Finding the Third Proportional to 202,256 and 436,049

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Solution

The third proportional to 202,256 and 436,049 is: 940,089.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,256 : 436,049 = 436,049 : x
  2. Step 2: Convert to fraction form
    202,256/436,049 = 436,049/x
  3. Step 3: Cross multiply
    202,256x = 436,049 × 436,049
  4. Step 4: Simplify right side
    202,256x = 190,138,730,401
  5. Step 5: Solve for x
    x = 190,138,730,401/202,256
  6. Step 6: Final answer
    x = 940,089.44

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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.