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Finding the Third Proportional to 167,084 and 394,284

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Solution

The third proportional to 167,084 and 394,284 is: 930,429.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,084 : 394,284 = 394,284 : x
  2. Step 2: Convert to fraction form
    167,084/394,284 = 394,284/x
  3. Step 3: Cross multiply
    167,084x = 394,284 × 394,284
  4. Step 4: Simplify right side
    167,084x = 155,459,872,656
  5. Step 5: Solve for x
    x = 155,459,872,656/167,084
  6. Step 6: Final answer
    x = 930,429.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.