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Finding the Third Proportional to 167,084 and 367,400

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Solution

The third proportional to 167,084 and 367,400 is: 807,873.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,084 : 367,400 = 367,400 : x
  2. Step 2: Convert to fraction form
    167,084/367,400 = 367,400/x
  3. Step 3: Cross multiply
    167,084x = 367,400 × 367,400
  4. Step 4: Simplify right side
    167,084x = 134,982,760,000
  5. Step 5: Solve for x
    x = 134,982,760,000/167,084
  6. Step 6: Final answer
    x = 807,873.64

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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.