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Finding the Third Proportional to 122,859.75 and 268,449

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Solution

The third proportional to 122,859.75 and 268,449 is: 586,562.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,859.75 : 268,449 = 268,449 : x
  2. Step 2: Convert to fraction form
    122,859.75/268,449 = 268,449/x
  3. Step 3: Cross multiply
    122,859.75x = 268,449 × 268,449
  4. Step 4: Simplify right side
    122,859.75x = 72,064,865,601
  5. Step 5: Solve for x
    x = 72,064,865,601/122,859.75
  6. Step 6: Final answer
    x = 586,562.04

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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.