Finding the Third Proportional to 202,180 and 442,808
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Solution
The third proportional to 202,180 and 442,808 is: 969,823.55
Step by Step Solution
- Step 1: Write the proportion equation
202,180 : 442,808 = 442,808 : x - Step 2: Convert to fraction form
202,180/442,808 = 442,808/x - Step 3: Cross multiply
202,180x = 442,808 × 442,808 - Step 4: Simplify right side
202,180x = 196,078,924,864 - Step 5: Solve for x
x = 196,078,924,864/202,180 - Step 6: Final answer
x = 969,823.55
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.