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Finding the Third Proportional to 141,894 and 212,450

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Solution

The third proportional to 141,894 and 212,450 is: 318,089.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,894 : 212,450 = 212,450 : x
  2. Step 2: Convert to fraction form
    141,894/212,450 = 212,450/x
  3. Step 3: Cross multiply
    141,894x = 212,450 × 212,450
  4. Step 4: Simplify right side
    141,894x = 45,135,002,500
  5. Step 5: Solve for x
    x = 45,135,002,500/141,894
  6. Step 6: Final answer
    x = 318,089.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.