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Finding the Third Proportional to 184,206 and 401,716

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Solution

The third proportional to 184,206 and 401,716 is: 876,061.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,206 : 401,716 = 401,716 : x
  2. Step 2: Convert to fraction form
    184,206/401,716 = 401,716/x
  3. Step 3: Cross multiply
    184,206x = 401,716 × 401,716
  4. Step 4: Simplify right side
    184,206x = 161,375,744,656
  5. Step 5: Solve for x
    x = 161,375,744,656/184,206
  6. Step 6: Final answer
    x = 876,061.28

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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.