Finding the Third Proportional to 177,164 and 269,026
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Solution
The third proportional to 177,164 and 269,026 is: 408,519.73
Step by Step Solution
- Step 1: Write the proportion equation
177,164 : 269,026 = 269,026 : x - Step 2: Convert to fraction form
177,164/269,026 = 269,026/x - Step 3: Cross multiply
177,164x = 269,026 × 269,026 - Step 4: Simplify right side
177,164x = 72,374,988,676 - Step 5: Solve for x
x = 72,374,988,676/177,164 - Step 6: Final answer
x = 408,519.73
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.