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Finding the Third Proportional to 85.13 and 184.88

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Solution

The third proportional to 85.13 and 184.88 is: 401.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.13 : 184.88 = 184.88 : x
  2. Step 2: Convert to fraction form
    85.13/184.88 = 184.88/x
  3. Step 3: Cross multiply
    85.13x = 184.88 × 184.88
  4. Step 4: Simplify right side
    85.13x = 34,178.77
  5. Step 5: Solve for x
    x = 34,178.77/85.13
  6. Step 6: Final answer
    x = 401.51

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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.