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Finding the Third Proportional to 108,810 and 239,004

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Solution

The third proportional to 108,810 and 239,004 is: 524,978.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,810 : 239,004 = 239,004 : x
  2. Step 2: Convert to fraction form
    108,810/239,004 = 239,004/x
  3. Step 3: Cross multiply
    108,810x = 239,004 × 239,004
  4. Step 4: Simplify right side
    108,810x = 57,122,912,016
  5. Step 5: Solve for x
    x = 57,122,912,016/108,810
  6. Step 6: Final answer
    x = 524,978.51

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.