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Finding the Third Proportional to 150,418 and 320,852

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Solution

The third proportional to 150,418 and 320,852 is: 684,399.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,418 : 320,852 = 320,852 : x
  2. Step 2: Convert to fraction form
    150,418/320,852 = 320,852/x
  3. Step 3: Cross multiply
    150,418x = 320,852 × 320,852
  4. Step 4: Simplify right side
    150,418x = 102,946,005,904
  5. Step 5: Solve for x
    x = 102,946,005,904/150,418
  6. Step 6: Final answer
    x = 684,399.51

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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.