Finding the Third Proportional to 227,156 and 499,996
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Solution
The third proportional to 227,156 and 499,996 is: 1,100,547.64
Step by Step Solution
- Step 1: Write the proportion equation
227,156 : 499,996 = 499,996 : x - Step 2: Convert to fraction form
227,156/499,996 = 499,996/x - Step 3: Cross multiply
227,156x = 499,996 × 499,996 - Step 4: Simplify right side
227,156x = 249,996,000,016 - Step 5: Solve for x
x = 249,996,000,016/227,156 - Step 6: Final answer
x = 1,100,547.64
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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.