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Finding the Third Proportional to 86,208 and 192,576

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Solution

The third proportional to 86,208 and 192,576 is: 430,186.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,208 : 192,576 = 192,576 : x
  2. Step 2: Convert to fraction form
    86,208/192,576 = 192,576/x
  3. Step 3: Cross multiply
    86,208x = 192,576 × 192,576
  4. Step 4: Simplify right side
    86,208x = 37,085,515,776
  5. Step 5: Solve for x
    x = 37,085,515,776/86,208
  6. Step 6: Final answer
    x = 430,186.48

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.