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Finding the Third Proportional to 195,227 and 295,299

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Solution

The third proportional to 195,227 and 295,299 is: 446,667.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,227 : 295,299 = 295,299 : x
  2. Step 2: Convert to fraction form
    195,227/295,299 = 295,299/x
  3. Step 3: Cross multiply
    195,227x = 295,299 × 295,299
  4. Step 4: Simplify right side
    195,227x = 87,201,499,401
  5. Step 5: Solve for x
    x = 87,201,499,401/195,227
  6. Step 6: Final answer
    x = 446,667.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.