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Finding the Third Proportional to 184,808 and 400,696

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Solution

The third proportional to 184,808 and 400,696 is: 868,778.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,808 : 400,696 = 400,696 : x
  2. Step 2: Convert to fraction form
    184,808/400,696 = 400,696/x
  3. Step 3: Cross multiply
    184,808x = 400,696 × 400,696
  4. Step 4: Simplify right side
    184,808x = 160,557,284,416
  5. Step 5: Solve for x
    x = 160,557,284,416/184,808
  6. Step 6: Final answer
    x = 868,778.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.