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Finding the Third Proportional to 193,227 and 291,299

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Solution

The third proportional to 193,227 and 291,299 is: 439,147.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,227 : 291,299 = 291,299 : x
  2. Step 2: Convert to fraction form
    193,227/291,299 = 291,299/x
  3. Step 3: Cross multiply
    193,227x = 291,299 × 291,299
  4. Step 4: Simplify right side
    193,227x = 84,855,107,401
  5. Step 5: Solve for x
    x = 84,855,107,401/193,227
  6. Step 6: Final answer
    x = 439,147.26

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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.