Finding the Third Proportional to 164 and 184.50
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Solution
The third proportional to 164 and 184.50 is: 207.56
Step by Step Solution
- Step 1: Write the proportion equation
164 : 184.50 = 184.50 : x - Step 2: Convert to fraction form
164/184.50 = 184.50/x - Step 3: Cross multiply
164x = 184.50 × 184.50 - Step 4: Simplify right side
164x = 34,040.25 - Step 5: Solve for x
x = 34,040.25/164 - Step 6: Final answer
x = 207.56
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Why These Related Problems?
These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.