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Finding the Third Proportional to 167,416 and 367,880

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Solution

The third proportional to 167,416 and 367,880 is: 808,379.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,416 : 367,880 = 367,880 : x
  2. Step 2: Convert to fraction form
    167,416/367,880 = 367,880/x
  3. Step 3: Cross multiply
    167,416x = 367,880 × 367,880
  4. Step 4: Simplify right side
    167,416x = 135,335,694,400
  5. Step 5: Solve for x
    x = 135,335,694,400/167,416
  6. Step 6: Final answer
    x = 808,379.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.