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Finding the Third Proportional to 149,608 and 322,993

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Solution

The third proportional to 149,608 and 322,993 is: 697,318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,608 : 322,993 = 322,993 : x
  2. Step 2: Convert to fraction form
    149,608/322,993 = 322,993/x
  3. Step 3: Cross multiply
    149,608x = 322,993 × 322,993
  4. Step 4: Simplify right side
    149,608x = 104,324,478,049
  5. Step 5: Solve for x
    x = 104,324,478,049/149,608
  6. Step 6: Final answer
    x = 697,318.85

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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.