Finding the Third Proportional to 206,998 and 427,210
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Solution
The third proportional to 206,998 and 427,210 is: 881,691.53
Step by Step Solution
- Step 1: Write the proportion equation
206,998 : 427,210 = 427,210 : x - Step 2: Convert to fraction form
206,998/427,210 = 427,210/x - Step 3: Cross multiply
206,998x = 427,210 × 427,210 - Step 4: Simplify right side
206,998x = 182,508,384,100 - Step 5: Solve for x
x = 182,508,384,100/206,998 - Step 6: Final answer
x = 881,691.53
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Why These Related Problems?
These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.