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Finding the Third Proportional to 177,328 and 384,166

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Solution

The third proportional to 177,328 and 384,166 is: 832,262.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,328 : 384,166 = 384,166 : x
  2. Step 2: Convert to fraction form
    177,328/384,166 = 384,166/x
  3. Step 3: Cross multiply
    177,328x = 384,166 × 384,166
  4. Step 4: Simplify right side
    177,328x = 147,583,515,556
  5. Step 5: Solve for x
    x = 147,583,515,556/177,328
  6. Step 6: Final answer
    x = 832,262.90

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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.