Finding the Third Proportional to 405.50 and 432.50
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Solution
The third proportional to 405.50 and 432.50 is: 461.30
Step by Step Solution
- Step 1: Write the proportion equation
405.50 : 432.50 = 432.50 : x - Step 2: Convert to fraction form
405.50/432.50 = 432.50/x - Step 3: Cross multiply
405.50x = 432.50 × 432.50 - Step 4: Simplify right side
405.50x = 187,056.25 - Step 5: Solve for x
x = 187,056.25/405.50 - Step 6: Final answer
x = 461.30
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Why These Related Problems?
These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.