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Finding the Third Proportional to 167,128 and 367,328

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Solution

The third proportional to 167,128 and 367,328 is: 807,344.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,128 : 367,328 = 367,328 : x
  2. Step 2: Convert to fraction form
    167,128/367,328 = 367,328/x
  3. Step 3: Cross multiply
    167,128x = 367,328 × 367,328
  4. Step 4: Simplify right side
    167,128x = 134,929,859,584
  5. Step 5: Solve for x
    x = 134,929,859,584/167,128
  6. Step 6: Final answer
    x = 807,344.43

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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.