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Finding the Third Proportional to 118,959 and 264,162

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Solution

The third proportional to 118,959 and 264,162 is: 586,601.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,959 : 264,162 = 264,162 : x
  2. Step 2: Convert to fraction form
    118,959/264,162 = 264,162/x
  3. Step 3: Cross multiply
    118,959x = 264,162 × 264,162
  4. Step 4: Simplify right side
    118,959x = 69,781,562,244
  5. Step 5: Solve for x
    x = 69,781,562,244/118,959
  6. Step 6: Final answer
    x = 586,601.79

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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.