Finding the Third Proportional to 202,824 and 295,164
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Solution
The third proportional to 202,824 and 295,164 is: 429,543.78
Step by Step Solution
- Step 1: Write the proportion equation
202,824 : 295,164 = 295,164 : x - Step 2: Convert to fraction form
202,824/295,164 = 295,164/x - Step 3: Cross multiply
202,824x = 295,164 × 295,164 - Step 4: Simplify right side
202,824x = 87,121,786,896 - Step 5: Solve for x
x = 87,121,786,896/202,824 - Step 6: Final answer
x = 429,543.78
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.