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Finding the Third Proportional to 189,940 and 281,982

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Solution

The third proportional to 189,940 and 281,982 is: 418,626.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,940 : 281,982 = 281,982 : x
  2. Step 2: Convert to fraction form
    189,940/281,982 = 281,982/x
  3. Step 3: Cross multiply
    189,940x = 281,982 × 281,982
  4. Step 4: Simplify right side
    189,940x = 79,513,848,324
  5. Step 5: Solve for x
    x = 79,513,848,324/189,940
  6. Step 6: Final answer
    x = 418,626.14

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.