Finding the Third Proportional to 146,726 and 312,830
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Solution
The third proportional to 146,726 and 312,830 is: 666,975.24
Step by Step Solution
- Step 1: Write the proportion equation
146,726 : 312,830 = 312,830 : x - Step 2: Convert to fraction form
146,726/312,830 = 312,830/x - Step 3: Cross multiply
146,726x = 312,830 × 312,830 - Step 4: Simplify right side
146,726x = 97,862,608,900 - Step 5: Solve for x
x = 97,862,608,900/146,726 - Step 6: Final answer
x = 666,975.24
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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.