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Finding the Third Proportional to 168,384.75 and 199,523.25

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Solution

The third proportional to 168,384.75 and 199,523.25 is: 236,420.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,384.75 : 199,523.25 = 199,523.25 : x
  2. Step 2: Convert to fraction form
    168,384.75/199,523.25 = 199,523.25/x
  3. Step 3: Cross multiply
    168,384.75x = 199,523.25 × 199,523.25
  4. Step 4: Simplify right side
    168,384.75x = 39,809,527,290.56
  5. Step 5: Solve for x
    x = 39,809,527,290.56/168,384.75
  6. Step 6: Final answer
    x = 236,420.03

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.