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Finding the Third Proportional to 111,333 and 226,553

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Solution

The third proportional to 111,333 and 226,553 is: 461,015.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,333 : 226,553 = 226,553 : x
  2. Step 2: Convert to fraction form
    111,333/226,553 = 226,553/x
  3. Step 3: Cross multiply
    111,333x = 226,553 × 226,553
  4. Step 4: Simplify right side
    111,333x = 51,326,261,809
  5. Step 5: Solve for x
    x = 51,326,261,809/111,333
  6. Step 6: Final answer
    x = 461,015.71

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.