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Finding the Third Proportional to 200,192 and 436,096

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Solution

The third proportional to 200,192 and 436,096 is: 949,986.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,192 : 436,096 = 436,096 : x
  2. Step 2: Convert to fraction form
    200,192/436,096 = 436,096/x
  3. Step 3: Cross multiply
    200,192x = 436,096 × 436,096
  4. Step 4: Simplify right side
    200,192x = 190,179,721,216
  5. Step 5: Solve for x
    x = 190,179,721,216/200,192
  6. Step 6: Final answer
    x = 949,986.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.