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Finding the Third Proportional to 168,426 and 360,189

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Solution

The third proportional to 168,426 and 360,189 is: 770,285.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,426 : 360,189 = 360,189 : x
  2. Step 2: Convert to fraction form
    168,426/360,189 = 360,189/x
  3. Step 3: Cross multiply
    168,426x = 360,189 × 360,189
  4. Step 4: Simplify right side
    168,426x = 129,736,115,721
  5. Step 5: Solve for x
    x = 129,736,115,721/168,426
  6. Step 6: Final answer
    x = 770,285.56

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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.