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Finding the Third Proportional to 167,124 and 367,320

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Solution

The third proportional to 167,124 and 367,320 is: 807,328.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,124 : 367,320 = 367,320 : x
  2. Step 2: Convert to fraction form
    167,124/367,320 = 367,320/x
  3. Step 3: Cross multiply
    167,124x = 367,320 × 367,320
  4. Step 4: Simplify right side
    167,124x = 134,923,982,400
  5. Step 5: Solve for x
    x = 134,923,982,400/167,124
  6. Step 6: Final answer
    x = 807,328.58

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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.