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Finding the Third Proportional to 192,394.50 and 421,728

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Solution

The third proportional to 192,394.50 and 421,728 is: 924,426.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,394.50 : 421,728 = 421,728 : x
  2. Step 2: Convert to fraction form
    192,394.50/421,728 = 421,728/x
  3. Step 3: Cross multiply
    192,394.50x = 421,728 × 421,728
  4. Step 4: Simplify right side
    192,394.50x = 177,854,505,984
  5. Step 5: Solve for x
    x = 177,854,505,984/192,394.50
  6. Step 6: Final answer
    x = 924,426.15

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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.