Finding the Third Proportional to 83,571.75 and 178,806.75
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Solution
The third proportional to 83,571.75 and 178,806.75 is: 382,567.72
Step by Step Solution
- Step 1: Write the proportion equation
83,571.75 : 178,806.75 = 178,806.75 : x - Step 2: Convert to fraction form
83,571.75/178,806.75 = 178,806.75/x - Step 3: Cross multiply
83,571.75x = 178,806.75 × 178,806.75 - Step 4: Simplify right side
83,571.75x = 31,971,853,845.56 - Step 5: Solve for x
x = 31,971,853,845.56/83,571.75 - Step 6: Final answer
x = 382,567.72
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.