Finding the Third Proportional to 1,174 and 1,342
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Solution
The third proportional to 1,174 and 1,342 is: 1,534.04
Step by Step Solution
- Step 1: Write the proportion equation
1,174 : 1,342 = 1,342 : x - Step 2: Convert to fraction form
1,174/1,342 = 1,342/x - Step 3: Cross multiply
1,174x = 1,342 × 1,342 - Step 4: Simplify right side
1,174x = 1,800,964 - Step 5: Solve for x
x = 1,800,964/1,174 - Step 6: Final answer
x = 1,534.04
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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.