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Finding the Third Proportional to 184,142 and 386,860

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Solution

The third proportional to 184,142 and 386,860 is: 812,745.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,142 : 386,860 = 386,860 : x
  2. Step 2: Convert to fraction form
    184,142/386,860 = 386,860/x
  3. Step 3: Cross multiply
    184,142x = 386,860 × 386,860
  4. Step 4: Simplify right side
    184,142x = 149,660,659,600
  5. Step 5: Solve for x
    x = 149,660,659,600/184,142
  6. Step 6: Final answer
    x = 812,745.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.