Finding the Third Proportional to 278.86 and 441.91
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Solution
The third proportional to 278.86 and 441.91 is: 700.31
Step by Step Solution
- Step 1: Write the proportion equation
278.86 : 441.91 = 441.91 : x - Step 2: Convert to fraction form
278.86/441.91 = 441.91/x - Step 3: Cross multiply
278.86x = 441.91 × 441.91 - Step 4: Simplify right side
278.86x = 195,288.04 - Step 5: Solve for x
x = 195,288.04/278.86 - Step 6: Final answer
x = 700.31
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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.