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Finding the Third Proportional to 111,904 and 263,862

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Solution

The third proportional to 111,904 and 263,862 is: 622,168.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,904 : 263,862 = 263,862 : x
  2. Step 2: Convert to fraction form
    111,904/263,862 = 263,862/x
  3. Step 3: Cross multiply
    111,904x = 263,862 × 263,862
  4. Step 4: Simplify right side
    111,904x = 69,623,155,044
  5. Step 5: Solve for x
    x = 69,623,155,044/111,904
  6. Step 6: Final answer
    x = 622,168.60

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.