Finding the Third Proportional to 164 and 314.50
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Solution
The third proportional to 164 and 314.50 is: 603.11
Step by Step Solution
- Step 1: Write the proportion equation
164 : 314.50 = 314.50 : x - Step 2: Convert to fraction form
164/314.50 = 314.50/x - Step 3: Cross multiply
164x = 314.50 × 314.50 - Step 4: Simplify right side
164x = 98,910.25 - Step 5: Solve for x
x = 98,910.25/164 - Step 6: Final answer
x = 603.11
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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.