Finding the Third Proportional to 200.81 and 442.13
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Solution
The third proportional to 200.81 and 442.13 is: 973.42
Step by Step Solution
- Step 1: Write the proportion equation
200.81 : 442.13 = 442.13 : x - Step 2: Convert to fraction form
200.81/442.13 = 442.13/x - Step 3: Cross multiply
200.81x = 442.13 × 442.13 - Step 4: Simplify right side
200.81x = 195,474.52 - Step 5: Solve for x
x = 195,474.52/200.81 - Step 6: Final answer
x = 973.42
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.