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Finding the Third Proportional to 177,296 and 384,130

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Solution

The third proportional to 177,296 and 384,130 is: 832,257.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,296 : 384,130 = 384,130 : x
  2. Step 2: Convert to fraction form
    177,296/384,130 = 384,130/x
  3. Step 3: Cross multiply
    177,296x = 384,130 × 384,130
  4. Step 4: Simplify right side
    177,296x = 147,555,856,900
  5. Step 5: Solve for x
    x = 147,555,856,900/177,296
  6. Step 6: Final answer
    x = 832,257.11

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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.