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Finding the Third Proportional to 167,728 and 253,756

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Solution

The third proportional to 167,728 and 253,756 is: 383,907.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,728 : 253,756 = 253,756 : x
  2. Step 2: Convert to fraction form
    167,728/253,756 = 253,756/x
  3. Step 3: Cross multiply
    167,728x = 253,756 × 253,756
  4. Step 4: Simplify right side
    167,728x = 64,392,107,536
  5. Step 5: Solve for x
    x = 64,392,107,536/167,728
  6. Step 6: Final answer
    x = 383,907.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.