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Finding the Third Proportional to 119,578.06 and 262,481.50

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Solution

The third proportional to 119,578.06 and 262,481.50 is: 576,163.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,578.06 : 262,481.50 = 262,481.50 : x
  2. Step 2: Convert to fraction form
    119,578.06/262,481.50 = 262,481.50/x
  3. Step 3: Cross multiply
    119,578.06x = 262,481.50 × 262,481.50
  4. Step 4: Simplify right side
    119,578.06x = 68,896,537,842.25
  5. Step 5: Solve for x
    x = 68,896,537,842.25/119,578.06
  6. Step 6: Final answer
    x = 576,163.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.