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Finding the Third Proportional to 150,492 and 320,568

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Solution

The third proportional to 150,492 and 320,568 is: 682,852.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,492 : 320,568 = 320,568 : x
  2. Step 2: Convert to fraction form
    150,492/320,568 = 320,568/x
  3. Step 3: Cross multiply
    150,492x = 320,568 × 320,568
  4. Step 4: Simplify right side
    150,492x = 102,763,842,624
  5. Step 5: Solve for x
    x = 102,763,842,624/150,492
  6. Step 6: Final answer
    x = 682,852.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.