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Finding the Third Proportional to 168,485 and 367,102

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Solution

The third proportional to 168,485 and 367,102 is: 799,856.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,485 : 367,102 = 367,102 : x
  2. Step 2: Convert to fraction form
    168,485/367,102 = 367,102/x
  3. Step 3: Cross multiply
    168,485x = 367,102 × 367,102
  4. Step 4: Simplify right side
    168,485x = 134,763,878,404
  5. Step 5: Solve for x
    x = 134,763,878,404/168,485
  6. Step 6: Final answer
    x = 799,856.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.