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Finding the Third Proportional to 69,635 and 150,354

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Solution

The third proportional to 69,635 and 150,354 is: 324,640.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,635 : 150,354 = 150,354 : x
  2. Step 2: Convert to fraction form
    69,635/150,354 = 150,354/x
  3. Step 3: Cross multiply
    69,635x = 150,354 × 150,354
  4. Step 4: Simplify right side
    69,635x = 22,606,325,316
  5. Step 5: Solve for x
    x = 22,606,325,316/69,635
  6. Step 6: Final answer
    x = 324,640.27

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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.