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Finding the Third Proportional to 122,775 and 268,980

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Solution

The third proportional to 122,775 and 268,980 is: 589,291.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,775 : 268,980 = 268,980 : x
  2. Step 2: Convert to fraction form
    122,775/268,980 = 268,980/x
  3. Step 3: Cross multiply
    122,775x = 268,980 × 268,980
  4. Step 4: Simplify right side
    122,775x = 72,350,240,400
  5. Step 5: Solve for x
    x = 72,350,240,400/122,775
  6. Step 6: Final answer
    x = 589,291.31

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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.