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Finding the Third Proportional to 126,248 and 276,249.50

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Solution

The third proportional to 126,248 and 276,249.50 is: 604,475.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,248 : 276,249.50 = 276,249.50 : x
  2. Step 2: Convert to fraction form
    126,248/276,249.50 = 276,249.50/x
  3. Step 3: Cross multiply
    126,248x = 276,249.50 × 276,249.50
  4. Step 4: Simplify right side
    126,248x = 76,313,786,250.25
  5. Step 5: Solve for x
    x = 76,313,786,250.25/126,248
  6. Step 6: Final answer
    x = 604,475.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.