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Finding the Third Proportional to 180.94 and 207.47

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Solution

The third proportional to 180.94 and 207.47 is: 237.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.94 : 207.47 = 207.47 : x
  2. Step 2: Convert to fraction form
    180.94/207.47 = 207.47/x
  3. Step 3: Cross multiply
    180.94x = 207.47 × 207.47
  4. Step 4: Simplify right side
    180.94x = 43,043.28
  5. Step 5: Solve for x
    x = 43,043.28/180.94
  6. Step 6: Final answer
    x = 237.89

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.