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Finding the Third Proportional to 202,536 and 436,234

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Solution

The third proportional to 202,536 and 436,234 is: 939,586.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,536 : 436,234 = 436,234 : x
  2. Step 2: Convert to fraction form
    202,536/436,234 = 436,234/x
  3. Step 3: Cross multiply
    202,536x = 436,234 × 436,234
  4. Step 4: Simplify right side
    202,536x = 190,300,102,756
  5. Step 5: Solve for x
    x = 190,300,102,756/202,536
  6. Step 6: Final answer
    x = 939,586.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.