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Finding the Third Proportional to 85,894 and 184,503

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Solution

The third proportional to 85,894 and 184,503 is: 396,318.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,894 : 184,503 = 184,503 : x
  2. Step 2: Convert to fraction form
    85,894/184,503 = 184,503/x
  3. Step 3: Cross multiply
    85,894x = 184,503 × 184,503
  4. Step 4: Simplify right side
    85,894x = 34,041,357,009
  5. Step 5: Solve for x
    x = 34,041,357,009/85,894
  6. Step 6: Final answer
    x = 396,318.22

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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.