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Finding the Third Proportional to 150,372 and 324,252

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Solution

The third proportional to 150,372 and 324,252 is: 699,195.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,372 : 324,252 = 324,252 : x
  2. Step 2: Convert to fraction form
    150,372/324,252 = 324,252/x
  3. Step 3: Cross multiply
    150,372x = 324,252 × 324,252
  4. Step 4: Simplify right side
    150,372x = 105,139,359,504
  5. Step 5: Solve for x
    x = 105,139,359,504/150,372
  6. Step 6: Final answer
    x = 699,195.06

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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.