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Finding the Third Proportional to 177,328 and 384,799

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Solution

The third proportional to 177,328 and 384,799 is: 835,007.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,328 : 384,799 = 384,799 : x
  2. Step 2: Convert to fraction form
    177,328/384,799 = 384,799/x
  3. Step 3: Cross multiply
    177,328x = 384,799 × 384,799
  4. Step 4: Simplify right side
    177,328x = 148,070,270,401
  5. Step 5: Solve for x
    x = 148,070,270,401/177,328
  6. Step 6: Final answer
    x = 835,007.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.