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Finding the Third Proportional to 164,692 and 354,968

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Solution

The third proportional to 164,692 and 354,968 is: 765,078.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,692 : 354,968 = 354,968 : x
  2. Step 2: Convert to fraction form
    164,692/354,968 = 354,968/x
  3. Step 3: Cross multiply
    164,692x = 354,968 × 354,968
  4. Step 4: Simplify right side
    164,692x = 126,002,281,024
  5. Step 5: Solve for x
    x = 126,002,281,024/164,692
  6. Step 6: Final answer
    x = 765,078.33

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