Finding the Third Proportional to 224,978.50 and 316,418
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Solution
The third proportional to 224,978.50 and 316,418 is: 445,021.86
Step by Step Solution
- Step 1: Write the proportion equation
224,978.50 : 316,418 = 316,418 : x - Step 2: Convert to fraction form
224,978.50/316,418 = 316,418/x - Step 3: Cross multiply
224,978.50x = 316,418 × 316,418 - Step 4: Simplify right side
224,978.50x = 100,120,350,724 - Step 5: Solve for x
x = 100,120,350,724/224,978.50 - Step 6: Final answer
x = 445,021.86
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.