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Finding the Third Proportional to 189,942 and 281,985

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Solution

The third proportional to 189,942 and 281,985 is: 418,630.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,942 : 281,985 = 281,985 : x
  2. Step 2: Convert to fraction form
    189,942/281,985 = 281,985/x
  3. Step 3: Cross multiply
    189,942x = 281,985 × 281,985
  4. Step 4: Simplify right side
    189,942x = 79,515,540,225
  5. Step 5: Solve for x
    x = 79,515,540,225/189,942
  6. Step 6: Final answer
    x = 418,630.64

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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.