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Finding the Third Proportional to 168,097 and 359,979

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Solution

The third proportional to 168,097 and 359,979 is: 770,893.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,097 : 359,979 = 359,979 : x
  2. Step 2: Convert to fraction form
    168,097/359,979 = 359,979/x
  3. Step 3: Cross multiply
    168,097x = 359,979 × 359,979
  4. Step 4: Simplify right side
    168,097x = 129,584,880,441
  5. Step 5: Solve for x
    x = 129,584,880,441/168,097
  6. Step 6: Final answer
    x = 770,893.47

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.