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Finding the Third Proportional to 133,021 and 272,256

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Solution

The third proportional to 133,021 and 272,256 is: 557,230.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,021 : 272,256 = 272,256 : x
  2. Step 2: Convert to fraction form
    133,021/272,256 = 272,256/x
  3. Step 3: Cross multiply
    133,021x = 272,256 × 272,256
  4. Step 4: Simplify right side
    133,021x = 74,123,329,536
  5. Step 5: Solve for x
    x = 74,123,329,536/133,021
  6. Step 6: Final answer
    x = 557,230.28

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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.