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Finding the Third Proportional to 84,850 and 184,435

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Solution

The third proportional to 84,850 and 184,435 is: 400,898.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,850 : 184,435 = 184,435 : x
  2. Step 2: Convert to fraction form
    84,850/184,435 = 184,435/x
  3. Step 3: Cross multiply
    84,850x = 184,435 × 184,435
  4. Step 4: Simplify right side
    84,850x = 34,016,269,225
  5. Step 5: Solve for x
    x = 34,016,269,225/84,850
  6. Step 6: Final answer
    x = 400,898.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.