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Finding the Third Proportional to 201,138.75 and 298,227

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Solution

The third proportional to 201,138.75 and 298,227 is: 442,179.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,138.75 : 298,227 = 298,227 : x
  2. Step 2: Convert to fraction form
    201,138.75/298,227 = 298,227/x
  3. Step 3: Cross multiply
    201,138.75x = 298,227 × 298,227
  4. Step 4: Simplify right side
    201,138.75x = 88,939,343,529
  5. Step 5: Solve for x
    x = 88,939,343,529/201,138.75
  6. Step 6: Final answer
    x = 442,179.06

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.