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Finding the Third Proportional to 110,236 and 239,263

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Solution

The third proportional to 110,236 and 239,263 is: 519,311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,236 : 239,263 = 239,263 : x
  2. Step 2: Convert to fraction form
    110,236/239,263 = 239,263/x
  3. Step 3: Cross multiply
    110,236x = 239,263 × 239,263
  4. Step 4: Simplify right side
    110,236x = 57,246,783,169
  5. Step 5: Solve for x
    x = 57,246,783,169/110,236
  6. Step 6: Final answer
    x = 519,311.14

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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.