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Finding the Third Proportional to 86,431 and 184,850

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Solution

The third proportional to 86,431 and 184,850 is: 395,338.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,431 : 184,850 = 184,850 : x
  2. Step 2: Convert to fraction form
    86,431/184,850 = 184,850/x
  3. Step 3: Cross multiply
    86,431x = 184,850 × 184,850
  4. Step 4: Simplify right side
    86,431x = 34,169,522,500
  5. Step 5: Solve for x
    x = 34,169,522,500/86,431
  6. Step 6: Final answer
    x = 395,338.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.