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Finding the Third Proportional to 214,134 and 281,650.50

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Solution

The third proportional to 214,134 and 281,650.50 is: 370,454.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,134 : 281,650.50 = 281,650.50 : x
  2. Step 2: Convert to fraction form
    214,134/281,650.50 = 281,650.50/x
  3. Step 3: Cross multiply
    214,134x = 281,650.50 × 281,650.50
  4. Step 4: Simplify right side
    214,134x = 79,327,004,150.25
  5. Step 5: Solve for x
    x = 79,327,004,150.25/214,134
  6. Step 6: Final answer
    x = 370,454.97

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.