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Finding the Third Proportional to 170,623.50 and 267,635

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Solution

The third proportional to 170,623.50 and 267,635 is: 419,804.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,623.50 : 267,635 = 267,635 : x
  2. Step 2: Convert to fraction form
    170,623.50/267,635 = 267,635/x
  3. Step 3: Cross multiply
    170,623.50x = 267,635 × 267,635
  4. Step 4: Simplify right side
    170,623.50x = 71,628,493,225
  5. Step 5: Solve for x
    x = 71,628,493,225/170,623.50
  6. Step 6: Final answer
    x = 419,804.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.