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Finding the Third Proportional to 133,026 and 272,267

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Solution

The third proportional to 133,026 and 272,267 is: 557,254.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,026 : 272,267 = 272,267 : x
  2. Step 2: Convert to fraction form
    133,026/272,267 = 272,267/x
  3. Step 3: Cross multiply
    133,026x = 272,267 × 272,267
  4. Step 4: Simplify right side
    133,026x = 74,129,319,289
  5. Step 5: Solve for x
    x = 74,129,319,289/133,026
  6. Step 6: Final answer
    x = 557,254.37

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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.