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Finding the Third Proportional to 170,651 and 367,061

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Solution

The third proportional to 170,651 and 367,061 is: 789,528.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,651 : 367,061 = 367,061 : x
  2. Step 2: Convert to fraction form
    170,651/367,061 = 367,061/x
  3. Step 3: Cross multiply
    170,651x = 367,061 × 367,061
  4. Step 4: Simplify right side
    170,651x = 134,733,777,721
  5. Step 5: Solve for x
    x = 134,733,777,721/170,651
  6. Step 6: Final answer
    x = 789,528.21

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