Finding the Third Proportional to 164,206.50 and 353,724
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Solution
The third proportional to 164,206.50 and 353,724 is: 761,971.47
Step by Step Solution
- Step 1: Write the proportion equation
164,206.50 : 353,724 = 353,724 : x - Step 2: Convert to fraction form
164,206.50/353,724 = 353,724/x - Step 3: Cross multiply
164,206.50x = 353,724 × 353,724 - Step 4: Simplify right side
164,206.50x = 125,120,668,176 - Step 5: Solve for x
x = 125,120,668,176/164,206.50 - Step 6: Final answer
x = 761,971.47
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.