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Finding the Third Proportional to 192,231 and 288,252

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Solution

The third proportional to 192,231 and 288,252 is: 432,236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,231 : 288,252 = 288,252 : x
  2. Step 2: Convert to fraction form
    192,231/288,252 = 288,252/x
  3. Step 3: Cross multiply
    192,231x = 288,252 × 288,252
  4. Step 4: Simplify right side
    192,231x = 83,089,215,504
  5. Step 5: Solve for x
    x = 83,089,215,504/192,231
  6. Step 6: Final answer
    x = 432,236.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.