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Finding the Third Proportional to 254,247 and 345,299

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Solution

The third proportional to 254,247 and 345,299 is: 468,958.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,247 : 345,299 = 345,299 : x
  2. Step 2: Convert to fraction form
    254,247/345,299 = 345,299/x
  3. Step 3: Cross multiply
    254,247x = 345,299 × 345,299
  4. Step 4: Simplify right side
    254,247x = 119,231,399,401
  5. Step 5: Solve for x
    x = 119,231,399,401/254,247
  6. Step 6: Final answer
    x = 468,958.92

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.