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Finding the Third Proportional to 170,868 and 399,224.75

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Solution

The third proportional to 170,868 and 399,224.75 is: 932,769.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,868 : 399,224.75 = 399,224.75 : x
  2. Step 2: Convert to fraction form
    170,868/399,224.75 = 399,224.75/x
  3. Step 3: Cross multiply
    170,868x = 399,224.75 × 399,224.75
  4. Step 4: Simplify right side
    170,868x = 159,380,401,012.56
  5. Step 5: Solve for x
    x = 159,380,401,012.56/170,868
  6. Step 6: Final answer
    x = 932,769.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.