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Finding the Third Proportional to 108,982 and 234,661

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Solution

The third proportional to 108,982 and 234,661 is: 505,274.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,982 : 234,661 = 234,661 : x
  2. Step 2: Convert to fraction form
    108,982/234,661 = 234,661/x
  3. Step 3: Cross multiply
    108,982x = 234,661 × 234,661
  4. Step 4: Simplify right side
    108,982x = 55,065,784,921
  5. Step 5: Solve for x
    x = 55,065,784,921/108,982
  6. Step 6: Final answer
    x = 505,274.13

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.