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Finding the Third Proportional to 177,454 and 268,299

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Solution

The third proportional to 177,454 and 268,299 is: 405,650.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,454 : 268,299 = 268,299 : x
  2. Step 2: Convert to fraction form
    177,454/268,299 = 268,299/x
  3. Step 3: Cross multiply
    177,454x = 268,299 × 268,299
  4. Step 4: Simplify right side
    177,454x = 71,984,353,401
  5. Step 5: Solve for x
    x = 71,984,353,401/177,454
  6. Step 6: Final answer
    x = 405,650.78

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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.