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Finding the Third Proportional to 149,451.50 and 322,512.75

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Solution

The third proportional to 149,451.50 and 322,512.75 is: 695,974.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,451.50 : 322,512.75 = 322,512.75 : x
  2. Step 2: Convert to fraction form
    149,451.50/322,512.75 = 322,512.75/x
  3. Step 3: Cross multiply
    149,451.50x = 322,512.75 × 322,512.75
  4. Step 4: Simplify right side
    149,451.50x = 104,014,473,912.56
  5. Step 5: Solve for x
    x = 104,014,473,912.56/149,451.50
  6. Step 6: Final answer
    x = 695,974.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.