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Finding the Third Proportional to 168,904 and 367,013

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Solution

The third proportional to 168,904 and 367,013 is: 797,485.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,904 : 367,013 = 367,013 : x
  2. Step 2: Convert to fraction form
    168,904/367,013 = 367,013/x
  3. Step 3: Cross multiply
    168,904x = 367,013 × 367,013
  4. Step 4: Simplify right side
    168,904x = 134,698,542,169
  5. Step 5: Solve for x
    x = 134,698,542,169/168,904
  6. Step 6: Final answer
    x = 797,485.80

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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.