Finding the Third Proportional to 203,946 and 286,689
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Solution
The third proportional to 203,946 and 286,689 is: 403,001.69
Step by Step Solution
- Step 1: Write the proportion equation
203,946 : 286,689 = 286,689 : x - Step 2: Convert to fraction form
203,946/286,689 = 286,689/x - Step 3: Cross multiply
203,946x = 286,689 × 286,689 - Step 4: Simplify right side
203,946x = 82,190,582,721 - Step 5: Solve for x
x = 82,190,582,721/203,946 - Step 6: Final answer
x = 403,001.69
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.