Finding the Third Proportional to 317.75 and 405.75
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Solution
The third proportional to 317.75 and 405.75 is: 518.12
Step by Step Solution
- Step 1: Write the proportion equation
317.75 : 405.75 = 405.75 : x - Step 2: Convert to fraction form
317.75/405.75 = 405.75/x - Step 3: Cross multiply
317.75x = 405.75 × 405.75 - Step 4: Simplify right side
317.75x = 164,633.06 - Step 5: Solve for x
x = 164,633.06/317.75 - Step 6: Final answer
x = 518.12
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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.