Finding the Third Proportional to 229,538 and 492,280
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Solution
The third proportional to 229,538 and 492,280 is: 1,055,771.15
Step by Step Solution
- Step 1: Write the proportion equation
229,538 : 492,280 = 492,280 : x - Step 2: Convert to fraction form
229,538/492,280 = 492,280/x - Step 3: Cross multiply
229,538x = 492,280 × 492,280 - Step 4: Simplify right side
229,538x = 242,339,598,400 - Step 5: Solve for x
x = 242,339,598,400/229,538 - Step 6: Final answer
x = 1,055,771.15
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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.