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Finding the Third Proportional to 202,244 and 436,025

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Solution

The third proportional to 202,244 and 436,025 is: 940,041.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,244 : 436,025 = 436,025 : x
  2. Step 2: Convert to fraction form
    202,244/436,025 = 436,025/x
  3. Step 3: Cross multiply
    202,244x = 436,025 × 436,025
  4. Step 4: Simplify right side
    202,244x = 190,117,800,625
  5. Step 5: Solve for x
    x = 190,117,800,625/202,244
  6. Step 6: Final answer
    x = 940,041.73

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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.