Finding the Third Proportional to 227,164 and 498,068
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Solution
The third proportional to 227,164 and 498,068 is: 1,092,038.05
Step by Step Solution
- Step 1: Write the proportion equation
227,164 : 498,068 = 498,068 : x - Step 2: Convert to fraction form
227,164/498,068 = 498,068/x - Step 3: Cross multiply
227,164x = 498,068 × 498,068 - Step 4: Simplify right side
227,164x = 248,071,732,624 - Step 5: Solve for x
x = 248,071,732,624/227,164 - Step 6: Final answer
x = 1,092,038.05
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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.