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Finding the Third Proportional to 82,458 and 180,954

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Solution

The third proportional to 82,458 and 180,954 is: 397,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,458 : 180,954 = 180,954 : x
  2. Step 2: Convert to fraction form
    82,458/180,954 = 180,954/x
  3. Step 3: Cross multiply
    82,458x = 180,954 × 180,954
  4. Step 4: Simplify right side
    82,458x = 32,744,350,116
  5. Step 5: Solve for x
    x = 32,744,350,116/82,458
  6. Step 6: Final answer
    x = 397,103.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.