Finding the Third Proportional to 196,896 and 303,012
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Solution
The third proportional to 196,896 and 303,012 is: 466,318.63
Step by Step Solution
- Step 1: Write the proportion equation
196,896 : 303,012 = 303,012 : x - Step 2: Convert to fraction form
196,896/303,012 = 303,012/x - Step 3: Cross multiply
196,896x = 303,012 × 303,012 - Step 4: Simplify right side
196,896x = 91,816,272,144 - Step 5: Solve for x
x = 91,816,272,144/196,896 - Step 6: Final answer
x = 466,318.63
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.