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Finding the Third Proportional to 110,888 and 239,984

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Solution

The third proportional to 110,888 and 239,984 is: 519,373.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,888 : 239,984 = 239,984 : x
  2. Step 2: Convert to fraction form
    110,888/239,984 = 239,984/x
  3. Step 3: Cross multiply
    110,888x = 239,984 × 239,984
  4. Step 4: Simplify right side
    110,888x = 57,592,320,256
  5. Step 5: Solve for x
    x = 57,592,320,256/110,888
  6. Step 6: Final answer
    x = 519,373.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.