Finding the Third Proportional to 205,854 and 451,116
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Solution
The third proportional to 205,854 and 451,116 is: 988,592.14
Step by Step Solution
- Step 1: Write the proportion equation
205,854 : 451,116 = 451,116 : x - Step 2: Convert to fraction form
205,854/451,116 = 451,116/x - Step 3: Cross multiply
205,854x = 451,116 × 451,116 - Step 4: Simplify right side
205,854x = 203,505,645,456 - Step 5: Solve for x
x = 203,505,645,456/205,854 - Step 6: Final answer
x = 988,592.14
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.