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Finding the Third Proportional to 184,596 and 401,214

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Solution

The third proportional to 184,596 and 401,214 is: 872,026.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,596 : 401,214 = 401,214 : x
  2. Step 2: Convert to fraction form
    184,596/401,214 = 401,214/x
  3. Step 3: Cross multiply
    184,596x = 401,214 × 401,214
  4. Step 4: Simplify right side
    184,596x = 160,972,673,796
  5. Step 5: Solve for x
    x = 160,972,673,796/184,596
  6. Step 6: Final answer
    x = 872,026.88

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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.