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Finding the Third Proportional to 184,962 and 404,170

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Solution

The third proportional to 184,962 and 404,170 is: 883,172.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,962 : 404,170 = 404,170 : x
  2. Step 2: Convert to fraction form
    184,962/404,170 = 404,170/x
  3. Step 3: Cross multiply
    184,962x = 404,170 × 404,170
  4. Step 4: Simplify right side
    184,962x = 163,353,388,900
  5. Step 5: Solve for x
    x = 163,353,388,900/184,962
  6. Step 6: Final answer
    x = 883,172.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.