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Finding the Third Proportional to 184,314 and 281,817

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Solution

The third proportional to 184,314 and 281,817 is: 430,899.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,314 : 281,817 = 281,817 : x
  2. Step 2: Convert to fraction form
    184,314/281,817 = 281,817/x
  3. Step 3: Cross multiply
    184,314x = 281,817 × 281,817
  4. Step 4: Simplify right side
    184,314x = 79,420,821,489
  5. Step 5: Solve for x
    x = 79,420,821,489/184,314
  6. Step 6: Final answer
    x = 430,899.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.