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Finding the Third Proportional to 150,390 and 320,274

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Solution

The third proportional to 150,390 and 320,274 is: 682,062.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,390 : 320,274 = 320,274 : x
  2. Step 2: Convert to fraction form
    150,390/320,274 = 320,274/x
  3. Step 3: Cross multiply
    150,390x = 320,274 × 320,274
  4. Step 4: Simplify right side
    150,390x = 102,575,435,076
  5. Step 5: Solve for x
    x = 102,575,435,076/150,390
  6. Step 6: Final answer
    x = 682,062.87

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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.