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Finding the Third Proportional to 111,184 and 226,896

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Solution

The third proportional to 111,184 and 226,896 is: 463,032.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,184 : 226,896 = 226,896 : x
  2. Step 2: Convert to fraction form
    111,184/226,896 = 226,896/x
  3. Step 3: Cross multiply
    111,184x = 226,896 × 226,896
  4. Step 4: Simplify right side
    111,184x = 51,481,794,816
  5. Step 5: Solve for x
    x = 51,481,794,816/111,184
  6. Step 6: Final answer
    x = 463,032.40

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.