Finding the Third Proportional to 205,926 and 451,216
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Solution
The third proportional to 205,926 and 451,216 is: 988,684.67
Step by Step Solution
- Step 1: Write the proportion equation
205,926 : 451,216 = 451,216 : x - Step 2: Convert to fraction form
205,926/451,216 = 451,216/x - Step 3: Cross multiply
205,926x = 451,216 × 451,216 - Step 4: Simplify right side
205,926x = 203,595,878,656 - Step 5: Solve for x
x = 203,595,878,656/205,926 - Step 6: Final answer
x = 988,684.67
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.