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Finding the Third Proportional to 149,080.50 and 324,405

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Solution

The third proportional to 149,080.50 and 324,405 is: 705,917.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,080.50 : 324,405 = 324,405 : x
  2. Step 2: Convert to fraction form
    149,080.50/324,405 = 324,405/x
  3. Step 3: Cross multiply
    149,080.50x = 324,405 × 324,405
  4. Step 4: Simplify right side
    149,080.50x = 105,238,604,025
  5. Step 5: Solve for x
    x = 105,238,604,025/149,080.50
  6. Step 6: Final answer
    x = 705,917.97

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