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Finding the Third Proportional to 149,716.50 and 324,614.25

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Solution

The third proportional to 149,716.50 and 324,614.25 is: 703,826.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,716.50 : 324,614.25 = 324,614.25 : x
  2. Step 2: Convert to fraction form
    149,716.50/324,614.25 = 324,614.25/x
  3. Step 3: Cross multiply
    149,716.50x = 324,614.25 × 324,614.25
  4. Step 4: Simplify right side
    149,716.50x = 105,374,411,303.06
  5. Step 5: Solve for x
    x = 105,374,411,303.06/149,716.50
  6. Step 6: Final answer
    x = 703,826.31

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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.