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Finding the Third Proportional to 165,744 and 361,851

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Solution

The third proportional to 165,744 and 361,851 is: 789,990.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,744 : 361,851 = 361,851 : x
  2. Step 2: Convert to fraction form
    165,744/361,851 = 361,851/x
  3. Step 3: Cross multiply
    165,744x = 361,851 × 361,851
  4. Step 4: Simplify right side
    165,744x = 130,936,146,201
  5. Step 5: Solve for x
    x = 130,936,146,201/165,744
  6. Step 6: Final answer
    x = 789,990.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.