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Finding the Third Proportional to 167,074 and 394,265

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Solution

The third proportional to 167,074 and 394,265 is: 930,395.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,074 : 394,265 = 394,265 : x
  2. Step 2: Convert to fraction form
    167,074/394,265 = 394,265/x
  3. Step 3: Cross multiply
    167,074x = 394,265 × 394,265
  4. Step 4: Simplify right side
    167,074x = 155,444,890,225
  5. Step 5: Solve for x
    x = 155,444,890,225/167,074
  6. Step 6: Final answer
    x = 930,395.45

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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.