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Finding the Third Proportional to 166,736 and 364,768

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Solution

The third proportional to 166,736 and 364,768 is: 798,002.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,736 : 364,768 = 364,768 : x
  2. Step 2: Convert to fraction form
    166,736/364,768 = 364,768/x
  3. Step 3: Cross multiply
    166,736x = 364,768 × 364,768
  4. Step 4: Simplify right side
    166,736x = 133,055,693,824
  5. Step 5: Solve for x
    x = 133,055,693,824/166,736
  6. Step 6: Final answer
    x = 798,002.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.