Finding the Third Proportional to 109,200 and 237,630
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Solution
The third proportional to 109,200 and 237,630 is: 517,106.38
Step by Step Solution
- Step 1: Write the proportion equation
109,200 : 237,630 = 237,630 : x - Step 2: Convert to fraction form
109,200/237,630 = 237,630/x - Step 3: Cross multiply
109,200x = 237,630 × 237,630 - Step 4: Simplify right side
109,200x = 56,468,016,900 - Step 5: Solve for x
x = 56,468,016,900/109,200 - Step 6: Final answer
x = 517,106.38
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.