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Finding the Third Proportional to 122,384.25 and 259,449.75

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Solution

The third proportional to 122,384.25 and 259,449.75 is: 550,023.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,384.25 : 259,449.75 = 259,449.75 : x
  2. Step 2: Convert to fraction form
    122,384.25/259,449.75 = 259,449.75/x
  3. Step 3: Cross multiply
    122,384.25x = 259,449.75 × 259,449.75
  4. Step 4: Simplify right side
    122,384.25x = 67,314,172,775.06
  5. Step 5: Solve for x
    x = 67,314,172,775.06/122,384.25
  6. Step 6: Final answer
    x = 550,023.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.