Finding the Third Proportional to 199,824 and 431,635
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Solution
The third proportional to 199,824 and 431,635 is: 932,364.35
Step by Step Solution
- Step 1: Write the proportion equation
199,824 : 431,635 = 431,635 : x - Step 2: Convert to fraction form
199,824/431,635 = 431,635/x - Step 3: Cross multiply
199,824x = 431,635 × 431,635 - Step 4: Simplify right side
199,824x = 186,308,773,225 - Step 5: Solve for x
x = 186,308,773,225/199,824 - Step 6: Final answer
x = 932,364.35
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.