Finding the Third Proportional to 200,540 and 428,140
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Solution
The third proportional to 200,540 and 428,140 is: 914,051.36
Step by Step Solution
- Step 1: Write the proportion equation
200,540 : 428,140 = 428,140 : x - Step 2: Convert to fraction form
200,540/428,140 = 428,140/x - Step 3: Cross multiply
200,540x = 428,140 × 428,140 - Step 4: Simplify right side
200,540x = 183,303,859,600 - Step 5: Solve for x
x = 183,303,859,600/200,540 - Step 6: Final answer
x = 914,051.36
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.