Finding the Third Proportional to 135,991 and 224,743
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Solution
The third proportional to 135,991 and 224,743 is: 371,417.34
Step by Step Solution
- Step 1: Write the proportion equation
135,991 : 224,743 = 224,743 : x - Step 2: Convert to fraction form
135,991/224,743 = 224,743/x - Step 3: Cross multiply
135,991x = 224,743 × 224,743 - Step 4: Simplify right side
135,991x = 50,509,416,049 - Step 5: Solve for x
x = 50,509,416,049/135,991 - Step 6: Final answer
x = 371,417.34
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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.