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Finding the Third Proportional to 133,026 and 272,266

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Solution

The third proportional to 133,026 and 272,266 is: 557,250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,026 : 272,266 = 272,266 : x
  2. Step 2: Convert to fraction form
    133,026/272,266 = 272,266/x
  3. Step 3: Cross multiply
    133,026x = 272,266 × 272,266
  4. Step 4: Simplify right side
    133,026x = 74,128,774,756
  5. Step 5: Solve for x
    x = 74,128,774,756/133,026
  6. Step 6: Final answer
    x = 557,250.27

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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.