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Finding the Third Proportional to 192,672 and 288,144

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Solution

The third proportional to 192,672 and 288,144 is: 430,923.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,672 : 288,144 = 288,144 : x
  2. Step 2: Convert to fraction form
    192,672/288,144 = 288,144/x
  3. Step 3: Cross multiply
    192,672x = 288,144 × 288,144
  4. Step 4: Simplify right side
    192,672x = 83,026,964,736
  5. Step 5: Solve for x
    x = 83,026,964,736/192,672
  6. Step 6: Final answer
    x = 430,923.87

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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.