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Finding the Third Proportional to 206,400 and 421,546

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Solution

The third proportional to 206,400 and 421,546 is: 860,954.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,400 : 421,546 = 421,546 : x
  2. Step 2: Convert to fraction form
    206,400/421,546 = 421,546/x
  3. Step 3: Cross multiply
    206,400x = 421,546 × 421,546
  4. Step 4: Simplify right side
    206,400x = 177,701,030,116
  5. Step 5: Solve for x
    x = 177,701,030,116/206,400
  6. Step 6: Final answer
    x = 860,954.60

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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.