Finding the Third Proportional to 165,831 and 389,802
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Solution
The third proportional to 165,831 and 389,802 is: 916,267.76
Step by Step Solution
- Step 1: Write the proportion equation
165,831 : 389,802 = 389,802 : x - Step 2: Convert to fraction form
165,831/389,802 = 389,802/x - Step 3: Cross multiply
165,831x = 389,802 × 389,802 - Step 4: Simplify right side
165,831x = 151,945,599,204 - Step 5: Solve for x
x = 151,945,599,204/165,831 - Step 6: Final answer
x = 916,267.76
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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.