Finding the Third Proportional to 84,424 and 178,384
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Solution
The third proportional to 84,424 and 178,384 is: 376,917.13
Step by Step Solution
- Step 1: Write the proportion equation
84,424 : 178,384 = 178,384 : x - Step 2: Convert to fraction form
84,424/178,384 = 178,384/x - Step 3: Cross multiply
84,424x = 178,384 × 178,384 - Step 4: Simplify right side
84,424x = 31,820,851,456 - Step 5: Solve for x
x = 31,820,851,456/84,424 - Step 6: Final answer
x = 376,917.13
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.