Finding the Third Proportional to 148,535.50 and 309,311
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Solution
The third proportional to 148,535.50 and 309,311 is: 644,110.63
Step by Step Solution
- Step 1: Write the proportion equation
148,535.50 : 309,311 = 309,311 : x - Step 2: Convert to fraction form
148,535.50/309,311 = 309,311/x - Step 3: Cross multiply
148,535.50x = 309,311 × 309,311 - Step 4: Simplify right side
148,535.50x = 95,673,294,721 - Step 5: Solve for x
x = 95,673,294,721/148,535.50 - Step 6: Final answer
x = 644,110.63
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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.