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Finding the Third Proportional to 150,272 and 324,608

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Solution

The third proportional to 150,272 and 324,608 is: 701,197.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,272 : 324,608 = 324,608 : x
  2. Step 2: Convert to fraction form
    150,272/324,608 = 324,608/x
  3. Step 3: Cross multiply
    150,272x = 324,608 × 324,608
  4. Step 4: Simplify right side
    150,272x = 105,370,353,664
  5. Step 5: Solve for x
    x = 105,370,353,664/150,272
  6. Step 6: Final answer
    x = 701,197.52

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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.