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Finding the Third Proportional to 206,433.50 and 431,593

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Solution

The third proportional to 206,433.50 and 431,593 is: 902,336.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,433.50 : 431,593 = 431,593 : x
  2. Step 2: Convert to fraction form
    206,433.50/431,593 = 431,593/x
  3. Step 3: Cross multiply
    206,433.50x = 431,593 × 431,593
  4. Step 4: Simplify right side
    206,433.50x = 186,272,517,649
  5. Step 5: Solve for x
    x = 186,272,517,649/206,433.50
  6. Step 6: Final answer
    x = 902,336.67

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.