Finding the Third Proportional to 145 and 323.50
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Solution
The third proportional to 145 and 323.50 is: 721.74
Step by Step Solution
- Step 1: Write the proportion equation
145 : 323.50 = 323.50 : x - Step 2: Convert to fraction form
145/323.50 = 323.50/x - Step 3: Cross multiply
145x = 323.50 × 323.50 - Step 4: Simplify right side
145x = 104,652.25 - Step 5: Solve for x
x = 104,652.25/145 - Step 6: Final answer
x = 721.74
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.