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Finding the Third Proportional to 192,264 and 411,096

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Solution

The third proportional to 192,264 and 411,096 is: 878,999.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,264 : 411,096 = 411,096 : x
  2. Step 2: Convert to fraction form
    192,264/411,096 = 411,096/x
  3. Step 3: Cross multiply
    192,264x = 411,096 × 411,096
  4. Step 4: Simplify right side
    192,264x = 168,999,921,216
  5. Step 5: Solve for x
    x = 168,999,921,216/192,264
  6. Step 6: Final answer
    x = 878,999.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.