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Finding the Third Proportional to 184,150 and 386,875

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Solution

The third proportional to 184,150 and 386,875 is: 812,773.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,150 : 386,875 = 386,875 : x
  2. Step 2: Convert to fraction form
    184,150/386,875 = 386,875/x
  3. Step 3: Cross multiply
    184,150x = 386,875 × 386,875
  4. Step 4: Simplify right side
    184,150x = 149,672,265,625
  5. Step 5: Solve for x
    x = 149,672,265,625/184,150
  6. Step 6: Final answer
    x = 812,773.64

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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.