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Finding the Third Proportional to 85,823 and 184,560

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Solution

The third proportional to 85,823 and 184,560 is: 396,891.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,823 : 184,560 = 184,560 : x
  2. Step 2: Convert to fraction form
    85,823/184,560 = 184,560/x
  3. Step 3: Cross multiply
    85,823x = 184,560 × 184,560
  4. Step 4: Simplify right side
    85,823x = 34,062,393,600
  5. Step 5: Solve for x
    x = 34,062,393,600/85,823
  6. Step 6: Final answer
    x = 396,891.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.