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Finding the Third Proportional to 185,214 and 281,817

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Solution

The third proportional to 185,214 and 281,817 is: 428,805.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,214 : 281,817 = 281,817 : x
  2. Step 2: Convert to fraction form
    185,214/281,817 = 281,817/x
  3. Step 3: Cross multiply
    185,214x = 281,817 × 281,817
  4. Step 4: Simplify right side
    185,214x = 79,420,821,489
  5. Step 5: Solve for x
    x = 79,420,821,489/185,214
  6. Step 6: Final answer
    x = 428,805.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.