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Finding the Third Proportional to 108,943 and 235,980

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Solution

The third proportional to 108,943 and 235,980 is: 511,153.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,943 : 235,980 = 235,980 : x
  2. Step 2: Convert to fraction form
    108,943/235,980 = 235,980/x
  3. Step 3: Cross multiply
    108,943x = 235,980 × 235,980
  4. Step 4: Simplify right side
    108,943x = 55,686,560,400
  5. Step 5: Solve for x
    x = 55,686,560,400/108,943
  6. Step 6: Final answer
    x = 511,153.18

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.