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Finding the Third Proportional to 170,659 and 367,077

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Solution

The third proportional to 170,659 and 367,077 is: 789,560.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,659 : 367,077 = 367,077 : x
  2. Step 2: Convert to fraction form
    170,659/367,077 = 367,077/x
  3. Step 3: Cross multiply
    170,659x = 367,077 × 367,077
  4. Step 4: Simplify right side
    170,659x = 134,745,523,929
  5. Step 5: Solve for x
    x = 134,745,523,929/170,659
  6. Step 6: Final answer
    x = 789,560.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.