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Finding the Third Proportional to 85,679 and 185,230

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Solution

The third proportional to 85,679 and 185,230 is: 400,449.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,679 : 185,230 = 185,230 : x
  2. Step 2: Convert to fraction form
    85,679/185,230 = 185,230/x
  3. Step 3: Cross multiply
    85,679x = 185,230 × 185,230
  4. Step 4: Simplify right side
    85,679x = 34,310,152,900
  5. Step 5: Solve for x
    x = 34,310,152,900/85,679
  6. Step 6: Final answer
    x = 400,449.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.