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Finding the Third Proportional to 269,144 and 566,170

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Solution

The third proportional to 269,144 and 566,170 is: 1,190,992.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,144 : 566,170 = 566,170 : x
  2. Step 2: Convert to fraction form
    269,144/566,170 = 566,170/x
  3. Step 3: Cross multiply
    269,144x = 566,170 × 566,170
  4. Step 4: Simplify right side
    269,144x = 320,548,468,900
  5. Step 5: Solve for x
    x = 320,548,468,900/269,144
  6. Step 6: Final answer
    x = 1,190,992.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.