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Finding the Third Proportional to 119,879.50 and 263,087

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Solution

The third proportional to 119,879.50 and 263,087 is: 577,369.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,879.50 : 263,087 = 263,087 : x
  2. Step 2: Convert to fraction form
    119,879.50/263,087 = 263,087/x
  3. Step 3: Cross multiply
    119,879.50x = 263,087 × 263,087
  4. Step 4: Simplify right side
    119,879.50x = 69,214,769,569
  5. Step 5: Solve for x
    x = 69,214,769,569/119,879.50
  6. Step 6: Final answer
    x = 577,369.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.