Finding the Third Proportional to 198,072 and 423,792
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Solution
The third proportional to 198,072 and 423,792 is: 906,739.26
Step by Step Solution
- Step 1: Write the proportion equation
198,072 : 423,792 = 423,792 : x - Step 2: Convert to fraction form
198,072/423,792 = 423,792/x - Step 3: Cross multiply
198,072x = 423,792 × 423,792 - Step 4: Simplify right side
198,072x = 179,599,659,264 - Step 5: Solve for x
x = 179,599,659,264/198,072 - Step 6: Final answer
x = 906,739.26
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.