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Finding the Third Proportional to 122,028 and 263,797.50

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Solution

The third proportional to 122,028 and 263,797.50 is: 570,271.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,028 : 263,797.50 = 263,797.50 : x
  2. Step 2: Convert to fraction form
    122,028/263,797.50 = 263,797.50/x
  3. Step 3: Cross multiply
    122,028x = 263,797.50 × 263,797.50
  4. Step 4: Simplify right side
    122,028x = 69,589,121,006.25
  5. Step 5: Solve for x
    x = 69,589,121,006.25/122,028
  6. Step 6: Final answer
    x = 570,271.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.