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Finding the Third Proportional to 122,768 and 268,960

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Solution

The third proportional to 122,768 and 268,960 is: 589,237.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,768 : 268,960 = 268,960 : x
  2. Step 2: Convert to fraction form
    122,768/268,960 = 268,960/x
  3. Step 3: Cross multiply
    122,768x = 268,960 × 268,960
  4. Step 4: Simplify right side
    122,768x = 72,339,481,600
  5. Step 5: Solve for x
    x = 72,339,481,600/122,768
  6. Step 6: Final answer
    x = 589,237.27

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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.