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Finding the Third Proportional to 122,035.50 and 262,797.75

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Solution

The third proportional to 122,035.50 and 262,797.75 is: 565,922.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,035.50 : 262,797.75 = 262,797.75 : x
  2. Step 2: Convert to fraction form
    122,035.50/262,797.75 = 262,797.75/x
  3. Step 3: Cross multiply
    122,035.50x = 262,797.75 × 262,797.75
  4. Step 4: Simplify right side
    122,035.50x = 69,062,657,405.06
  5. Step 5: Solve for x
    x = 69,062,657,405.06/122,035.50
  6. Step 6: Final answer
    x = 565,922.68

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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.