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Finding the Third Proportional to 171,240 and 366,244

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Solution

The third proportional to 171,240 and 366,244 is: 783,313.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,240 : 366,244 = 366,244 : x
  2. Step 2: Convert to fraction form
    171,240/366,244 = 366,244/x
  3. Step 3: Cross multiply
    171,240x = 366,244 × 366,244
  4. Step 4: Simplify right side
    171,240x = 134,134,667,536
  5. Step 5: Solve for x
    x = 134,134,667,536/171,240
  6. Step 6: Final answer
    x = 783,313.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.