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Finding the Third Proportional to 119,256 and 264,756

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Solution

The third proportional to 119,256 and 264,756 is: 587,775.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,256 : 264,756 = 264,756 : x
  2. Step 2: Convert to fraction form
    119,256/264,756 = 264,756/x
  3. Step 3: Cross multiply
    119,256x = 264,756 × 264,756
  4. Step 4: Simplify right side
    119,256x = 70,095,739,536
  5. Step 5: Solve for x
    x = 70,095,739,536/119,256
  6. Step 6: Final answer
    x = 587,775.37

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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.