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Finding the Third Proportional to 192,072 and 420,732

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Solution

The third proportional to 192,072 and 420,732 is: 921,609.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,072 : 420,732 = 420,732 : x
  2. Step 2: Convert to fraction form
    192,072/420,732 = 420,732/x
  3. Step 3: Cross multiply
    192,072x = 420,732 × 420,732
  4. Step 4: Simplify right side
    192,072x = 177,015,415,824
  5. Step 5: Solve for x
    x = 177,015,415,824/192,072
  6. Step 6: Final answer
    x = 921,609.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.