Finding the Third Proportional to 206,064 and 443,214
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Solution
The third proportional to 206,064 and 443,214 is: 953,289.51
Step by Step Solution
- Step 1: Write the proportion equation
206,064 : 443,214 = 443,214 : x - Step 2: Convert to fraction form
206,064/443,214 = 443,214/x - Step 3: Cross multiply
206,064x = 443,214 × 443,214 - Step 4: Simplify right side
206,064x = 196,438,649,796 - Step 5: Solve for x
x = 196,438,649,796/206,064 - Step 6: Final answer
x = 953,289.51
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.