Finding the Third Proportional to 165,748 and 262,871
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Solution
The third proportional to 165,748 and 262,871 is: 416,904.96
Step by Step Solution
- Step 1: Write the proportion equation
165,748 : 262,871 = 262,871 : x - Step 2: Convert to fraction form
165,748/262,871 = 262,871/x - Step 3: Cross multiply
165,748x = 262,871 × 262,871 - Step 4: Simplify right side
165,748x = 69,101,162,641 - Step 5: Solve for x
x = 69,101,162,641/165,748 - Step 6: Final answer
x = 416,904.96
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.