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Finding the Third Proportional to 149,771 and 324,463

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Solution

The third proportional to 149,771 and 324,463 is: 702,914.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,771 : 324,463 = 324,463 : x
  2. Step 2: Convert to fraction form
    149,771/324,463 = 324,463/x
  3. Step 3: Cross multiply
    149,771x = 324,463 × 324,463
  4. Step 4: Simplify right side
    149,771x = 105,276,238,369
  5. Step 5: Solve for x
    x = 105,276,238,369/149,771
  6. Step 6: Final answer
    x = 702,914.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.