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Finding the Third Proportional to 149,608.50 and 322,995

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Solution

The third proportional to 149,608.50 and 322,995 is: 697,325.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,608.50 : 322,995 = 322,995 : x
  2. Step 2: Convert to fraction form
    149,608.50/322,995 = 322,995/x
  3. Step 3: Cross multiply
    149,608.50x = 322,995 × 322,995
  4. Step 4: Simplify right side
    149,608.50x = 104,325,770,025
  5. Step 5: Solve for x
    x = 104,325,770,025/149,608.50
  6. Step 6: Final answer
    x = 697,325.15

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.