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Finding the Third Proportional to 149,719.50 and 324,361.50

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Solution

The third proportional to 149,719.50 and 324,361.50 is: 702,716.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,719.50 : 324,361.50 = 324,361.50 : x
  2. Step 2: Convert to fraction form
    149,719.50/324,361.50 = 324,361.50/x
  3. Step 3: Cross multiply
    149,719.50x = 324,361.50 × 324,361.50
  4. Step 4: Simplify right side
    149,719.50x = 105,210,382,682.25
  5. Step 5: Solve for x
    x = 105,210,382,682.25/149,719.50
  6. Step 6: Final answer
    x = 702,716.63

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Why These Related Problems?

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