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Finding the Third Proportional to 108,902 and 234,976

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Solution

The third proportional to 108,902 and 234,976 is: 507,003.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,902 : 234,976 = 234,976 : x
  2. Step 2: Convert to fraction form
    108,902/234,976 = 234,976/x
  3. Step 3: Cross multiply
    108,902x = 234,976 × 234,976
  4. Step 4: Simplify right side
    108,902x = 55,213,720,576
  5. Step 5: Solve for x
    x = 55,213,720,576/108,902
  6. Step 6: Final answer
    x = 507,003.73

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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.