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Finding the Third Proportional to 149,715.75 and 324,612.75

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Solution

The third proportional to 149,715.75 and 324,612.75 is: 703,823.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,715.75 : 324,612.75 = 324,612.75 : x
  2. Step 2: Convert to fraction form
    149,715.75/324,612.75 = 324,612.75/x
  3. Step 3: Cross multiply
    149,715.75x = 324,612.75 × 324,612.75
  4. Step 4: Simplify right side
    149,715.75x = 105,373,437,462.56
  5. Step 5: Solve for x
    x = 105,373,437,462.56/149,715.75
  6. Step 6: Final answer
    x = 703,823.33

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