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Finding the Third Proportional to 171,238 and 366,240

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Solution

The third proportional to 171,238 and 366,240 is: 783,305.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,238 : 366,240 = 366,240 : x
  2. Step 2: Convert to fraction form
    171,238/366,240 = 366,240/x
  3. Step 3: Cross multiply
    171,238x = 366,240 × 366,240
  4. Step 4: Simplify right side
    171,238x = 134,131,737,600
  5. Step 5: Solve for x
    x = 134,131,737,600/171,238
  6. Step 6: Final answer
    x = 783,305.91

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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.