Finding the Third Proportional to 105,354 and 230,418
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Solution
The third proportional to 105,354 and 230,418 is: 503,943.42
Step by Step Solution
- Step 1: Write the proportion equation
105,354 : 230,418 = 230,418 : x - Step 2: Convert to fraction form
105,354/230,418 = 230,418/x - Step 3: Cross multiply
105,354x = 230,418 × 230,418 - Step 4: Simplify right side
105,354x = 53,092,454,724 - Step 5: Solve for x
x = 53,092,454,724/105,354 - Step 6: Final answer
x = 503,943.42
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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.