Finding the Third Proportional to 74,174 and 164,365
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Solution
The third proportional to 74,174 and 164,365 is: 364,222.68
Step by Step Solution
- Step 1: Write the proportion equation
74,174 : 164,365 = 164,365 : x - Step 2: Convert to fraction form
74,174/164,365 = 164,365/x - Step 3: Cross multiply
74,174x = 164,365 × 164,365 - Step 4: Simplify right side
74,174x = 27,015,853,225 - Step 5: Solve for x
x = 27,015,853,225/74,174 - Step 6: Final answer
x = 364,222.68
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.