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Finding the Third Proportional to 171,554 and 378,010

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Solution

The third proportional to 171,554 and 378,010 is: 832,924.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,554 : 378,010 = 378,010 : x
  2. Step 2: Convert to fraction form
    171,554/378,010 = 378,010/x
  3. Step 3: Cross multiply
    171,554x = 378,010 × 378,010
  4. Step 4: Simplify right side
    171,554x = 142,891,560,100
  5. Step 5: Solve for x
    x = 142,891,560,100/171,554
  6. Step 6: Final answer
    x = 832,924.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.