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Finding the Third Proportional to 110,180 and 226,168

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Solution

The third proportional to 110,180 and 226,168 is: 464,258.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,180 : 226,168 = 226,168 : x
  2. Step 2: Convert to fraction form
    110,180/226,168 = 226,168/x
  3. Step 3: Cross multiply
    110,180x = 226,168 × 226,168
  4. Step 4: Simplify right side
    110,180x = 51,151,964,224
  5. Step 5: Solve for x
    x = 51,151,964,224/110,180
  6. Step 6: Final answer
    x = 464,258.16

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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.