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Finding the Third Proportional to 169,249.50 and 254,137.50

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Solution

The third proportional to 169,249.50 and 254,137.50 is: 381,601.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,249.50 : 254,137.50 = 254,137.50 : x
  2. Step 2: Convert to fraction form
    169,249.50/254,137.50 = 254,137.50/x
  3. Step 3: Cross multiply
    169,249.50x = 254,137.50 × 254,137.50
  4. Step 4: Simplify right side
    169,249.50x = 64,585,868,906.25
  5. Step 5: Solve for x
    x = 64,585,868,906.25/169,249.50
  6. Step 6: Final answer
    x = 381,601.53

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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.