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Finding the Third Proportional to 69,304 and 150,756

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Solution

The third proportional to 69,304 and 150,756 is: 327,937.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,304 : 150,756 = 150,756 : x
  2. Step 2: Convert to fraction form
    69,304/150,756 = 150,756/x
  3. Step 3: Cross multiply
    69,304x = 150,756 × 150,756
  4. Step 4: Simplify right side
    69,304x = 22,727,371,536
  5. Step 5: Solve for x
    x = 22,727,371,536/69,304
  6. Step 6: Final answer
    x = 327,937.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.