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Finding the Third Proportional to 168,747 and 367,013

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Solution

The third proportional to 168,747 and 367,013 is: 798,227.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,747 : 367,013 = 367,013 : x
  2. Step 2: Convert to fraction form
    168,747/367,013 = 367,013/x
  3. Step 3: Cross multiply
    168,747x = 367,013 × 367,013
  4. Step 4: Simplify right side
    168,747x = 134,698,542,169
  5. Step 5: Solve for x
    x = 134,698,542,169/168,747
  6. Step 6: Final answer
    x = 798,227.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.