Finding the Third Proportional to 84,696 and 182,784
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Solution
The third proportional to 84,696 and 182,784 is: 394,469.52
Step by Step Solution
- Step 1: Write the proportion equation
84,696 : 182,784 = 182,784 : x - Step 2: Convert to fraction form
84,696/182,784 = 182,784/x - Step 3: Cross multiply
84,696x = 182,784 × 182,784 - Step 4: Simplify right side
84,696x = 33,409,990,656 - Step 5: Solve for x
x = 33,409,990,656/84,696 - Step 6: Final answer
x = 394,469.52
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.