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Finding the Third Proportional to 171,640 and 369,108

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Solution

The third proportional to 171,640 and 369,108 is: 793,758.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,640 : 369,108 = 369,108 : x
  2. Step 2: Convert to fraction form
    171,640/369,108 = 369,108/x
  3. Step 3: Cross multiply
    171,640x = 369,108 × 369,108
  4. Step 4: Simplify right side
    171,640x = 136,240,715,664
  5. Step 5: Solve for x
    x = 136,240,715,664/171,640
  6. Step 6: Final answer
    x = 793,758.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.