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Finding the Third Proportional to 122,604 and 268,176

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Solution

The third proportional to 122,604 and 268,176 is: 586,590.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,604 : 268,176 = 268,176 : x
  2. Step 2: Convert to fraction form
    122,604/268,176 = 268,176/x
  3. Step 3: Cross multiply
    122,604x = 268,176 × 268,176
  4. Step 4: Simplify right side
    122,604x = 71,918,366,976
  5. Step 5: Solve for x
    x = 71,918,366,976/122,604
  6. Step 6: Final answer
    x = 586,590.71

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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.