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Finding the Third Proportional to 122,251.97 and 264,852.66

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Solution

The third proportional to 122,251.97 and 264,852.66 is: 573,789.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,251.97 : 264,852.66 = 264,852.66 : x
  2. Step 2: Convert to fraction form
    122,251.97/264,852.66 = 264,852.66/x
  3. Step 3: Cross multiply
    122,251.97x = 264,852.66 × 264,852.66
  4. Step 4: Simplify right side
    122,251.97x = 70,146,929,522.68
  5. Step 5: Solve for x
    x = 70,146,929,522.68/122,251.97
  6. Step 6: Final answer
    x = 573,789.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.