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Finding the Third Proportional to 118,961 and 264,166

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Solution

The third proportional to 118,961 and 264,166 is: 586,609.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,961 : 264,166 = 264,166 : x
  2. Step 2: Convert to fraction form
    118,961/264,166 = 264,166/x
  3. Step 3: Cross multiply
    118,961x = 264,166 × 264,166
  4. Step 4: Simplify right side
    118,961x = 69,783,675,556
  5. Step 5: Solve for x
    x = 69,783,675,556/118,961
  6. Step 6: Final answer
    x = 586,609.69

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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.