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Finding the Third Proportional to 192,241.50 and 421,504.50

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Solution

The third proportional to 192,241.50 and 421,504.50 is: 924,181.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,241.50 : 421,504.50 = 421,504.50 : x
  2. Step 2: Convert to fraction form
    192,241.50/421,504.50 = 421,504.50/x
  3. Step 3: Cross multiply
    192,241.50x = 421,504.50 × 421,504.50
  4. Step 4: Simplify right side
    192,241.50x = 177,666,043,520.25
  5. Step 5: Solve for x
    x = 177,666,043,520.25/192,241.50
  6. Step 6: Final answer
    x = 924,181.53

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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.