Finding the Third Proportional to 219.75 and 363.75
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Solution
The third proportional to 219.75 and 363.75 is: 602.11
Step by Step Solution
- Step 1: Write the proportion equation
219.75 : 363.75 = 363.75 : x - Step 2: Convert to fraction form
219.75/363.75 = 363.75/x - Step 3: Cross multiply
219.75x = 363.75 × 363.75 - Step 4: Simplify right side
219.75x = 132,314.06 - Step 5: Solve for x
x = 132,314.06/219.75 - Step 6: Final answer
x = 602.11
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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.