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Finding the Third Proportional to 199,236 and 298,200

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Solution

The third proportional to 199,236 and 298,200 is: 446,321.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,236 : 298,200 = 298,200 : x
  2. Step 2: Convert to fraction form
    199,236/298,200 = 298,200/x
  3. Step 3: Cross multiply
    199,236x = 298,200 × 298,200
  4. Step 4: Simplify right side
    199,236x = 88,923,240,000
  5. Step 5: Solve for x
    x = 88,923,240,000/199,236
  6. Step 6: Final answer
    x = 446,321.15

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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.