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Finding the Third Proportional to 110,184 and 226,176

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Solution

The third proportional to 110,184 and 226,176 is: 464,274.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,184 : 226,176 = 226,176 : x
  2. Step 2: Convert to fraction form
    110,184/226,176 = 226,176/x
  3. Step 3: Cross multiply
    110,184x = 226,176 × 226,176
  4. Step 4: Simplify right side
    110,184x = 51,155,582,976
  5. Step 5: Solve for x
    x = 51,155,582,976/110,184
  6. Step 6: Final answer
    x = 464,274.15

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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.