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Finding the Third Proportional to 184,630 and 401,660

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Solution

The third proportional to 184,630 and 401,660 is: 873,805.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,630 : 401,660 = 401,660 : x
  2. Step 2: Convert to fraction form
    184,630/401,660 = 401,660/x
  3. Step 3: Cross multiply
    184,630x = 401,660 × 401,660
  4. Step 4: Simplify right side
    184,630x = 161,330,755,600
  5. Step 5: Solve for x
    x = 161,330,755,600/184,630
  6. Step 6: Final answer
    x = 873,805.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.