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Finding the Third Proportional to 177,326 and 384,795

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Solution

The third proportional to 177,326 and 384,795 is: 834,999.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,326 : 384,795 = 384,795 : x
  2. Step 2: Convert to fraction form
    177,326/384,795 = 384,795/x
  3. Step 3: Cross multiply
    177,326x = 384,795 × 384,795
  4. Step 4: Simplify right side
    177,326x = 148,067,192,025
  5. Step 5: Solve for x
    x = 148,067,192,025/177,326
  6. Step 6: Final answer
    x = 834,999.90

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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.