Finding the Third Proportional to 221,320 and 474,196
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Solution
The third proportional to 221,320 and 474,196 is: 1,016,003.28
Step by Step Solution
- Step 1: Write the proportion equation
221,320 : 474,196 = 474,196 : x - Step 2: Convert to fraction form
221,320/474,196 = 474,196/x - Step 3: Cross multiply
221,320x = 474,196 × 474,196 - Step 4: Simplify right side
221,320x = 224,861,846,416 - Step 5: Solve for x
x = 224,861,846,416/221,320 - Step 6: Final answer
x = 1,016,003.28
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.