Finding the Third Proportional to 301 and 491.50
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Solution
The third proportional to 301 and 491.50 is: 802.57
Step by Step Solution
- Step 1: Write the proportion equation
301 : 491.50 = 491.50 : x - Step 2: Convert to fraction form
301/491.50 = 491.50/x - Step 3: Cross multiply
301x = 491.50 × 491.50 - Step 4: Simplify right side
301x = 241,572.25 - Step 5: Solve for x
x = 241,572.25/301 - Step 6: Final answer
x = 802.57
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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.