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Finding the Third Proportional to 133,691 and 297,267

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Solution

The third proportional to 133,691 and 297,267 is: 660,984.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,691 : 297,267 = 297,267 : x
  2. Step 2: Convert to fraction form
    133,691/297,267 = 297,267/x
  3. Step 3: Cross multiply
    133,691x = 297,267 × 297,267
  4. Step 4: Simplify right side
    133,691x = 88,367,669,289
  5. Step 5: Solve for x
    x = 88,367,669,289/133,691
  6. Step 6: Final answer
    x = 660,984.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.