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Finding the Third Proportional to 168,237 and 367,821

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Solution

The third proportional to 168,237 and 367,821 is: 804,176.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,237 : 367,821 = 367,821 : x
  2. Step 2: Convert to fraction form
    168,237/367,821 = 367,821/x
  3. Step 3: Cross multiply
    168,237x = 367,821 × 367,821
  4. Step 4: Simplify right side
    168,237x = 135,292,288,041
  5. Step 5: Solve for x
    x = 135,292,288,041/168,237
  6. Step 6: Final answer
    x = 804,176.77

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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.