Finding the Third Proportional to 140,625 and 217,802.50
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Solution
The third proportional to 140,625 and 217,802.50 is: 337,336.38
Step by Step Solution
- Step 1: Write the proportion equation
140,625 : 217,802.50 = 217,802.50 : x - Step 2: Convert to fraction form
140,625/217,802.50 = 217,802.50/x - Step 3: Cross multiply
140,625x = 217,802.50 × 217,802.50 - Step 4: Simplify right side
140,625x = 47,437,929,006.25 - Step 5: Solve for x
x = 47,437,929,006.25/140,625 - Step 6: Final answer
x = 337,336.38
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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.