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Finding the Third Proportional to 122,033.46 and 262,798.80

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Solution

The third proportional to 122,033.46 and 262,798.80 is: 565,936.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,033.46 : 262,798.80 = 262,798.80 : x
  2. Step 2: Convert to fraction form
    122,033.46/262,798.80 = 262,798.80/x
  3. Step 3: Cross multiply
    122,033.46x = 262,798.80 × 262,798.80
  4. Step 4: Simplify right side
    122,033.46x = 69,063,211,745.18
  5. Step 5: Solve for x
    x = 69,063,211,745.18/122,033.46
  6. Step 6: Final answer
    x = 565,936.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.