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Finding the Third Proportional to 149,746.50 and 225,229.50

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Solution

The third proportional to 149,746.50 and 225,229.50 is: 338,761.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,746.50 : 225,229.50 = 225,229.50 : x
  2. Step 2: Convert to fraction form
    149,746.50/225,229.50 = 225,229.50/x
  3. Step 3: Cross multiply
    149,746.50x = 225,229.50 × 225,229.50
  4. Step 4: Simplify right side
    149,746.50x = 50,728,327,670.25
  5. Step 5: Solve for x
    x = 50,728,327,670.25/149,746.50
  6. Step 6: Final answer
    x = 338,761.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.