Finding the Third Proportional to 208,012 and 447,144
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Solution
The third proportional to 208,012 and 447,144 is: 961,183.76
Step by Step Solution
- Step 1: Write the proportion equation
208,012 : 447,144 = 447,144 : x - Step 2: Convert to fraction form
208,012/447,144 = 447,144/x - Step 3: Cross multiply
208,012x = 447,144 × 447,144 - Step 4: Simplify right side
208,012x = 199,937,756,736 - Step 5: Solve for x
x = 199,937,756,736/208,012 - Step 6: Final answer
x = 961,183.76
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.