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Finding the Third Proportional to 108,398 and 166,824

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Solution

The third proportional to 108,398 and 166,824 is: 256,741.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,398 : 166,824 = 166,824 : x
  2. Step 2: Convert to fraction form
    108,398/166,824 = 166,824/x
  3. Step 3: Cross multiply
    108,398x = 166,824 × 166,824
  4. Step 4: Simplify right side
    108,398x = 27,830,246,976
  5. Step 5: Solve for x
    x = 27,830,246,976/108,398
  6. Step 6: Final answer
    x = 256,741.33

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.