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Finding the Third Proportional to 149,893.50 and 324,249

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Solution

The third proportional to 149,893.50 and 324,249 is: 701,414.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,893.50 : 324,249 = 324,249 : x
  2. Step 2: Convert to fraction form
    149,893.50/324,249 = 324,249/x
  3. Step 3: Cross multiply
    149,893.50x = 324,249 × 324,249
  4. Step 4: Simplify right side
    149,893.50x = 105,137,414,001
  5. Step 5: Solve for x
    x = 105,137,414,001/149,893.50
  6. Step 6: Final answer
    x = 701,414.10

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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.