Finding the Third Proportional to 204,855 and 419,835
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Solution
The third proportional to 204,855 and 419,835 is: 860,420.43
Step by Step Solution
- Step 1: Write the proportion equation
204,855 : 419,835 = 419,835 : x - Step 2: Convert to fraction form
204,855/419,835 = 419,835/x - Step 3: Cross multiply
204,855x = 419,835 × 419,835 - Step 4: Simplify right side
204,855x = 176,261,427,225 - Step 5: Solve for x
x = 176,261,427,225/204,855 - Step 6: Final answer
x = 860,420.43
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.