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Finding the Third Proportional to 206,395 and 421,536.50

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Solution

The third proportional to 206,395 and 421,536.50 is: 860,936.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,395 : 421,536.50 = 421,536.50 : x
  2. Step 2: Convert to fraction form
    206,395/421,536.50 = 421,536.50/x
  3. Step 3: Cross multiply
    206,395x = 421,536.50 × 421,536.50
  4. Step 4: Simplify right side
    206,395x = 177,693,020,832.25
  5. Step 5: Solve for x
    x = 177,693,020,832.25/206,395
  6. Step 6: Final answer
    x = 860,936.65

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.