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Finding the Third Proportional to 69,330 and 150,804

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Solution

The third proportional to 69,330 and 150,804 is: 328,023.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,330 : 150,804 = 150,804 : x
  2. Step 2: Convert to fraction form
    69,330/150,804 = 150,804/x
  3. Step 3: Cross multiply
    69,330x = 150,804 × 150,804
  4. Step 4: Simplify right side
    69,330x = 22,741,846,416
  5. Step 5: Solve for x
    x = 22,741,846,416/69,330
  6. Step 6: Final answer
    x = 328,023.17

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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.