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Finding the Third Proportional to 110,992 and 239,718.50

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Solution

The third proportional to 110,992 and 239,718.50 is: 517,739.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,992 : 239,718.50 = 239,718.50 : x
  2. Step 2: Convert to fraction form
    110,992/239,718.50 = 239,718.50/x
  3. Step 3: Cross multiply
    110,992x = 239,718.50 × 239,718.50
  4. Step 4: Simplify right side
    110,992x = 57,464,959,242.25
  5. Step 5: Solve for x
    x = 57,464,959,242.25/110,992
  6. Step 6: Final answer
    x = 517,739.65

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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.