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Finding the Third Proportional to 206,968.50 and 443,475

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Solution

The third proportional to 206,968.50 and 443,475 is: 950,241.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,968.50 : 443,475 = 443,475 : x
  2. Step 2: Convert to fraction form
    206,968.50/443,475 = 443,475/x
  3. Step 3: Cross multiply
    206,968.50x = 443,475 × 443,475
  4. Step 4: Simplify right side
    206,968.50x = 196,670,075,625
  5. Step 5: Solve for x
    x = 196,670,075,625/206,968.50
  6. Step 6: Final answer
    x = 950,241.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.