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Finding the Third Proportional to 168,909 and 364,884

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Solution

The third proportional to 168,909 and 364,884 is: 788,237.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,909 : 364,884 = 364,884 : x
  2. Step 2: Convert to fraction form
    168,909/364,884 = 364,884/x
  3. Step 3: Cross multiply
    168,909x = 364,884 × 364,884
  4. Step 4: Simplify right side
    168,909x = 133,140,333,456
  5. Step 5: Solve for x
    x = 133,140,333,456/168,909
  6. Step 6: Final answer
    x = 788,237.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.