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Finding the Third Proportional to 122,646.75 and 263,025.75

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Solution

The third proportional to 122,646.75 and 263,025.75 is: 564,079.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,646.75 : 263,025.75 = 263,025.75 : x
  2. Step 2: Convert to fraction form
    122,646.75/263,025.75 = 263,025.75/x
  3. Step 3: Cross multiply
    122,646.75x = 263,025.75 × 263,025.75
  4. Step 4: Simplify right side
    122,646.75x = 69,182,545,163.06
  5. Step 5: Solve for x
    x = 69,182,545,163.06/122,646.75
  6. Step 6: Final answer
    x = 564,079.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.