Finding the Third Proportional to 150 and 293.50
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Solution
The third proportional to 150 and 293.50 is: 574.28
Step by Step Solution
- Step 1: Write the proportion equation
150 : 293.50 = 293.50 : x - Step 2: Convert to fraction form
150/293.50 = 293.50/x - Step 3: Cross multiply
150x = 293.50 × 293.50 - Step 4: Simplify right side
150x = 86,142.25 - Step 5: Solve for x
x = 86,142.25/150 - Step 6: Final answer
x = 574.28
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These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.