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Finding the Third Proportional to 177,266 and 379,451

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Solution

The third proportional to 177,266 and 379,451 is: 812,242.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,266 : 379,451 = 379,451 : x
  2. Step 2: Convert to fraction form
    177,266/379,451 = 379,451/x
  3. Step 3: Cross multiply
    177,266x = 379,451 × 379,451
  4. Step 4: Simplify right side
    177,266x = 143,983,061,401
  5. Step 5: Solve for x
    x = 143,983,061,401/177,266
  6. Step 6: Final answer
    x = 812,242.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.