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Finding the Third Proportional to 168,509 and 366,543

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Solution

The third proportional to 168,509 and 366,543 is: 797,309.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,509 : 366,543 = 366,543 : x
  2. Step 2: Convert to fraction form
    168,509/366,543 = 366,543/x
  3. Step 3: Cross multiply
    168,509x = 366,543 × 366,543
  4. Step 4: Simplify right side
    168,509x = 134,353,770,849
  5. Step 5: Solve for x
    x = 134,353,770,849/168,509
  6. Step 6: Final answer
    x = 797,309.17

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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.