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Finding the Third Proportional to 122,764 and 268,950

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Solution

The third proportional to 122,764 and 268,950 is: 589,212.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,764 : 268,950 = 268,950 : x
  2. Step 2: Convert to fraction form
    122,764/268,950 = 268,950/x
  3. Step 3: Cross multiply
    122,764x = 268,950 × 268,950
  4. Step 4: Simplify right side
    122,764x = 72,334,102,500
  5. Step 5: Solve for x
    x = 72,334,102,500/122,764
  6. Step 6: Final answer
    x = 589,212.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.