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Finding the Third Proportional to 133,027 and 272,269

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Solution

The third proportional to 133,027 and 272,269 is: 557,258.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,027 : 272,269 = 272,269 : x
  2. Step 2: Convert to fraction form
    133,027/272,269 = 272,269/x
  3. Step 3: Cross multiply
    133,027x = 272,269 × 272,269
  4. Step 4: Simplify right side
    133,027x = 74,130,408,361
  5. Step 5: Solve for x
    x = 74,130,408,361/133,027
  6. Step 6: Final answer
    x = 557,258.36

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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.