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Finding the Third Proportional to 207,364 and 320,766

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Solution

The third proportional to 207,364 and 320,766 is: 496,184.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,364 : 320,766 = 320,766 : x
  2. Step 2: Convert to fraction form
    207,364/320,766 = 320,766/x
  3. Step 3: Cross multiply
    207,364x = 320,766 × 320,766
  4. Step 4: Simplify right side
    207,364x = 102,890,826,756
  5. Step 5: Solve for x
    x = 102,890,826,756/207,364
  6. Step 6: Final answer
    x = 496,184.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.