Finding the Third Proportional to 223.50 and 423.75
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Solution
The third proportional to 223.50 and 423.75 is: 803.42
Step by Step Solution
- Step 1: Write the proportion equation
223.50 : 423.75 = 423.75 : x - Step 2: Convert to fraction form
223.50/423.75 = 423.75/x - Step 3: Cross multiply
223.50x = 423.75 × 423.75 - Step 4: Simplify right side
223.50x = 179,564.06 - Step 5: Solve for x
x = 179,564.06/223.50 - Step 6: Final answer
x = 803.42
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Why These Related Problems?
These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.