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Finding the Third Proportional to 184,226 and 281,685

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Solution

The third proportional to 184,226 and 281,685 is: 430,701.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,226 : 281,685 = 281,685 : x
  2. Step 2: Convert to fraction form
    184,226/281,685 = 281,685/x
  3. Step 3: Cross multiply
    184,226x = 281,685 × 281,685
  4. Step 4: Simplify right side
    184,226x = 79,346,439,225
  5. Step 5: Solve for x
    x = 79,346,439,225/184,226
  6. Step 6: Final answer
    x = 430,701.63

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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.