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Finding the Third Proportional to 170,366 and 374,994

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Solution

The third proportional to 170,366 and 374,994 is: 825,402.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,366 : 374,994 = 374,994 : x
  2. Step 2: Convert to fraction form
    170,366/374,994 = 374,994/x
  3. Step 3: Cross multiply
    170,366x = 374,994 × 374,994
  4. Step 4: Simplify right side
    170,366x = 140,620,500,036
  5. Step 5: Solve for x
    x = 140,620,500,036/170,366
  6. Step 6: Final answer
    x = 825,402.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.