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Finding the Third Proportional to 149,299.50 and 324,843

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Solution

The third proportional to 149,299.50 and 324,843 is: 706,787.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,299.50 : 324,843 = 324,843 : x
  2. Step 2: Convert to fraction form
    149,299.50/324,843 = 324,843/x
  3. Step 3: Cross multiply
    149,299.50x = 324,843 × 324,843
  4. Step 4: Simplify right side
    149,299.50x = 105,522,974,649
  5. Step 5: Solve for x
    x = 105,522,974,649/149,299.50
  6. Step 6: Final answer
    x = 706,787.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.