Finding the Third Proportional to 106,200 and 232,800
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Solution
The third proportional to 106,200 and 232,800 is: 510,318.64
Step by Step Solution
- Step 1: Write the proportion equation
106,200 : 232,800 = 232,800 : x - Step 2: Convert to fraction form
106,200/232,800 = 232,800/x - Step 3: Cross multiply
106,200x = 232,800 × 232,800 - Step 4: Simplify right side
106,200x = 54,195,840,000 - Step 5: Solve for x
x = 54,195,840,000/106,200 - Step 6: Final answer
x = 510,318.64
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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.