Finding the Third Proportional to 164 and 224.50
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Solution
The third proportional to 164 and 224.50 is: 307.32
Step by Step Solution
- Step 1: Write the proportion equation
164 : 224.50 = 224.50 : x - Step 2: Convert to fraction form
164/224.50 = 224.50/x - Step 3: Cross multiply
164x = 224.50 × 224.50 - Step 4: Simplify right side
164x = 50,400.25 - Step 5: Solve for x
x = 50,400.25/164 - Step 6: Final answer
x = 307.32
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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.