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Finding the Third Proportional to 184,208 and 401,720

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Solution

The third proportional to 184,208 and 401,720 is: 876,069.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,208 : 401,720 = 401,720 : x
  2. Step 2: Convert to fraction form
    184,208/401,720 = 401,720/x
  3. Step 3: Cross multiply
    184,208x = 401,720 × 401,720
  4. Step 4: Simplify right side
    184,208x = 161,378,958,400
  5. Step 5: Solve for x
    x = 161,378,958,400/184,208
  6. Step 6: Final answer
    x = 876,069.22

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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.