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Finding the Third Proportional to 203,589 and 267,718.50

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Solution

The third proportional to 203,589 and 267,718.50 is: 352,048.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,589 : 267,718.50 = 267,718.50 : x
  2. Step 2: Convert to fraction form
    203,589/267,718.50 = 267,718.50/x
  3. Step 3: Cross multiply
    203,589x = 267,718.50 × 267,718.50
  4. Step 4: Simplify right side
    203,589x = 71,673,195,242.25
  5. Step 5: Solve for x
    x = 71,673,195,242.25/203,589
  6. Step 6: Final answer
    x = 352,048.47

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.