Finding the Third Proportional to 278.81 and 433.13
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Solution
The third proportional to 278.81 and 433.13 is: 672.84
Step by Step Solution
- Step 1: Write the proportion equation
278.81 : 433.13 = 433.13 : x - Step 2: Convert to fraction form
278.81/433.13 = 433.13/x - Step 3: Cross multiply
278.81x = 433.13 × 433.13 - Step 4: Simplify right side
278.81x = 187,597.27 - Step 5: Solve for x
x = 187,597.27/278.81 - Step 6: Final answer
x = 672.84
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.