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Finding the Third Proportional to 69,578 and 150,270

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Solution

The third proportional to 69,578 and 150,270 is: 324,543.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,578 : 150,270 = 150,270 : x
  2. Step 2: Convert to fraction form
    69,578/150,270 = 150,270/x
  3. Step 3: Cross multiply
    69,578x = 150,270 × 150,270
  4. Step 4: Simplify right side
    69,578x = 22,581,072,900
  5. Step 5: Solve for x
    x = 22,581,072,900/69,578
  6. Step 6: Final answer
    x = 324,543.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.