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Finding the Third Proportional to 110,186 and 226,180

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Solution

The third proportional to 110,186 and 226,180 is: 464,282.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,186 : 226,180 = 226,180 : x
  2. Step 2: Convert to fraction form
    110,186/226,180 = 226,180/x
  3. Step 3: Cross multiply
    110,186x = 226,180 × 226,180
  4. Step 4: Simplify right side
    110,186x = 51,157,392,400
  5. Step 5: Solve for x
    x = 51,157,392,400/110,186
  6. Step 6: Final answer
    x = 464,282.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.