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Finding the Third Proportional to 171,638 and 369,104

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Solution

The third proportional to 171,638 and 369,104 is: 793,750.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,638 : 369,104 = 369,104 : x
  2. Step 2: Convert to fraction form
    171,638/369,104 = 369,104/x
  3. Step 3: Cross multiply
    171,638x = 369,104 × 369,104
  4. Step 4: Simplify right side
    171,638x = 136,237,762,816
  5. Step 5: Solve for x
    x = 136,237,762,816/171,638
  6. Step 6: Final answer
    x = 793,750.58

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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.