Finding the Third Proportional to 200,080 and 472,308
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Solution
The third proportional to 200,080 and 472,308 is: 1,114,928.26
Step by Step Solution
- Step 1: Write the proportion equation
200,080 : 472,308 = 472,308 : x - Step 2: Convert to fraction form
200,080/472,308 = 472,308/x - Step 3: Cross multiply
200,080x = 472,308 × 472,308 - Step 4: Simplify right side
200,080x = 223,074,846,864 - Step 5: Solve for x
x = 223,074,846,864/200,080 - Step 6: Final answer
x = 1,114,928.26
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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.