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Finding the Third Proportional to 122,339 and 268,735

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Solution

The third proportional to 122,339 and 268,735 is: 590,314.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,339 : 268,735 = 268,735 : x
  2. Step 2: Convert to fraction form
    122,339/268,735 = 268,735/x
  3. Step 3: Cross multiply
    122,339x = 268,735 × 268,735
  4. Step 4: Simplify right side
    122,339x = 72,218,500,225
  5. Step 5: Solve for x
    x = 72,218,500,225/122,339
  6. Step 6: Final answer
    x = 590,314.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.