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Finding the Third Proportional to 206,395.31 and 421,538.63

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Solution

The third proportional to 206,395.31 and 421,538.63 is: 860,944.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,395.31 : 421,538.63 = 421,538.63 : x
  2. Step 2: Convert to fraction form
    206,395.31/421,538.63 = 421,538.63/x
  3. Step 3: Cross multiply
    206,395.31x = 421,538.63 × 421,538.63
  4. Step 4: Simplify right side
    206,395.31x = 177,694,812,366.89
  5. Step 5: Solve for x
    x = 177,694,812,366.89/206,395.31
  6. Step 6: Final answer
    x = 860,944.03

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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.