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Finding the Third Proportional to 132.75 and 207.19

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Solution

The third proportional to 132.75 and 207.19 is: 323.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.75 : 207.19 = 207.19 : x
  2. Step 2: Convert to fraction form
    132.75/207.19 = 207.19/x
  3. Step 3: Cross multiply
    132.75x = 207.19 × 207.19
  4. Step 4: Simplify right side
    132.75x = 42,926.66
  5. Step 5: Solve for x
    x = 42,926.66/132.75
  6. Step 6: Final answer
    x = 323.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.