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Finding the Third Proportional to 110,274 and 239,219

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Solution

The third proportional to 110,274 and 239,219 is: 518,941.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,274 : 239,219 = 239,219 : x
  2. Step 2: Convert to fraction form
    110,274/239,219 = 239,219/x
  3. Step 3: Cross multiply
    110,274x = 239,219 × 239,219
  4. Step 4: Simplify right side
    110,274x = 57,225,729,961
  5. Step 5: Solve for x
    x = 57,225,729,961/110,274
  6. Step 6: Final answer
    x = 518,941.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.