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Finding the Third Proportional to 170,632 and 367,427

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Solution

The third proportional to 170,632 and 367,427 is: 791,191.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,632 : 367,427 = 367,427 : x
  2. Step 2: Convert to fraction form
    170,632/367,427 = 367,427/x
  3. Step 3: Cross multiply
    170,632x = 367,427 × 367,427
  4. Step 4: Simplify right side
    170,632x = 135,002,600,329
  5. Step 5: Solve for x
    x = 135,002,600,329/170,632
  6. Step 6: Final answer
    x = 791,191.57

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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.