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Finding the Third Proportional to 168,062 and 367,591

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Solution

The third proportional to 168,062 and 367,591 is: 804,007.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,062 : 367,591 = 367,591 : x
  2. Step 2: Convert to fraction form
    168,062/367,591 = 367,591/x
  3. Step 3: Cross multiply
    168,062x = 367,591 × 367,591
  4. Step 4: Simplify right side
    168,062x = 135,123,143,281
  5. Step 5: Solve for x
    x = 135,123,143,281/168,062
  6. Step 6: Final answer
    x = 804,007.71

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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.