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Finding the Third Proportional to 150,496 and 320,480

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Solution

The third proportional to 150,496 and 320,480 is: 682,459.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,496 : 320,480 = 320,480 : x
  2. Step 2: Convert to fraction form
    150,496/320,480 = 320,480/x
  3. Step 3: Cross multiply
    150,496x = 320,480 × 320,480
  4. Step 4: Simplify right side
    150,496x = 102,707,430,400
  5. Step 5: Solve for x
    x = 102,707,430,400/150,496
  6. Step 6: Final answer
    x = 682,459.54

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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.