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Finding the Third Proportional to 182.13 and 206.88

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Solution

The third proportional to 182.13 and 206.88 is: 234.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.13 : 206.88 = 206.88 : x
  2. Step 2: Convert to fraction form
    182.13/206.88 = 206.88/x
  3. Step 3: Cross multiply
    182.13x = 206.88 × 206.88
  4. Step 4: Simplify right side
    182.13x = 42,797.27
  5. Step 5: Solve for x
    x = 42,797.27/182.13
  6. Step 6: Final answer
    x = 234.99

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.