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Finding the Third Proportional to 120,933 and 263,361.38

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Solution

The third proportional to 120,933 and 263,361.38 is: 573,534.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,933 : 263,361.38 = 263,361.38 : x
  2. Step 2: Convert to fraction form
    120,933/263,361.38 = 263,361.38/x
  3. Step 3: Cross multiply
    120,933x = 263,361.38 × 263,361.38
  4. Step 4: Simplify right side
    120,933x = 69,359,213,841.89
  5. Step 5: Solve for x
    x = 69,359,213,841.89/120,933
  6. Step 6: Final answer
    x = 573,534.22

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.