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Finding the Third Proportional to 168,900.19 and 369,147.38

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Solution

The third proportional to 168,900.19 and 369,147.38 is: 806,806.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,900.19 : 369,147.38 = 369,147.38 : x
  2. Step 2: Convert to fraction form
    168,900.19/369,147.38 = 369,147.38/x
  3. Step 3: Cross multiply
    168,900.19x = 369,147.38 × 369,147.38
  4. Step 4: Simplify right side
    168,900.19x = 136,269,784,469.39
  5. Step 5: Solve for x
    x = 136,269,784,469.39/168,900.19
  6. Step 6: Final answer
    x = 806,806.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.