Finding the Third Proportional to 257,948 and 344,025
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Solution
The third proportional to 257,948 and 344,025 is: 458,825.81
Step by Step Solution
- Step 1: Write the proportion equation
257,948 : 344,025 = 344,025 : x - Step 2: Convert to fraction form
257,948/344,025 = 344,025/x - Step 3: Cross multiply
257,948x = 344,025 × 344,025 - Step 4: Simplify right side
257,948x = 118,353,200,625 - Step 5: Solve for x
x = 118,353,200,625/257,948 - Step 6: Final answer
x = 458,825.81
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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.