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Finding the Third Proportional to 184,661 and 408,073

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Solution

The third proportional to 184,661 and 408,073 is: 901,779.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,661 : 408,073 = 408,073 : x
  2. Step 2: Convert to fraction form
    184,661/408,073 = 408,073/x
  3. Step 3: Cross multiply
    184,661x = 408,073 × 408,073
  4. Step 4: Simplify right side
    184,661x = 166,523,573,329
  5. Step 5: Solve for x
    x = 166,523,573,329/184,661
  6. Step 6: Final answer
    x = 901,779.87

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.