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Finding the Third Proportional to 170,424 and 233,766

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Solution

The third proportional to 170,424 and 233,766 is: 320,650.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,424 : 233,766 = 233,766 : x
  2. Step 2: Convert to fraction form
    170,424/233,766 = 233,766/x
  3. Step 3: Cross multiply
    170,424x = 233,766 × 233,766
  4. Step 4: Simplify right side
    170,424x = 54,646,542,756
  5. Step 5: Solve for x
    x = 54,646,542,756/170,424
  6. Step 6: Final answer
    x = 320,650.51

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.