Finding the Third Proportional to 193,792 and 402,164
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Solution
The third proportional to 193,792 and 402,164 is: 834,584.93
Step by Step Solution
- Step 1: Write the proportion equation
193,792 : 402,164 = 402,164 : x - Step 2: Convert to fraction form
193,792/402,164 = 402,164/x - Step 3: Cross multiply
193,792x = 402,164 × 402,164 - Step 4: Simplify right side
193,792x = 161,735,882,896 - Step 5: Solve for x
x = 161,735,882,896/193,792 - Step 6: Final answer
x = 834,584.93
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.