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Finding the Third Proportional to 168,164 and 367,894

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Solution

The third proportional to 168,164 and 367,894 is: 804,845.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,164 : 367,894 = 367,894 : x
  2. Step 2: Convert to fraction form
    168,164/367,894 = 367,894/x
  3. Step 3: Cross multiply
    168,164x = 367,894 × 367,894
  4. Step 4: Simplify right side
    168,164x = 135,345,995,236
  5. Step 5: Solve for x
    x = 135,345,995,236/168,164
  6. Step 6: Final answer
    x = 804,845.24

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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.