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Finding the Third Proportional to 207,816 and 303,945

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Solution

The third proportional to 207,816 and 303,945 is: 444,540.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,816 : 303,945 = 303,945 : x
  2. Step 2: Convert to fraction form
    207,816/303,945 = 303,945/x
  3. Step 3: Cross multiply
    207,816x = 303,945 × 303,945
  4. Step 4: Simplify right side
    207,816x = 92,382,563,025
  5. Step 5: Solve for x
    x = 92,382,563,025/207,816
  6. Step 6: Final answer
    x = 444,540.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.