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Finding the Third Proportional to 122,979.94 and 268,953.75

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Solution

The third proportional to 122,979.94 and 268,953.75 is: 588,194.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,979.94 : 268,953.75 = 268,953.75 : x
  2. Step 2: Convert to fraction form
    122,979.94/268,953.75 = 268,953.75/x
  3. Step 3: Cross multiply
    122,979.94x = 268,953.75 × 268,953.75
  4. Step 4: Simplify right side
    122,979.94x = 72,336,119,639.06
  5. Step 5: Solve for x
    x = 72,336,119,639.06/122,979.94
  6. Step 6: Final answer
    x = 588,194.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.