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Finding the Third Proportional to 132.42 and 205.03

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Solution

The third proportional to 132.42 and 205.03 is: 317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.42 : 205.03 = 205.03 : x
  2. Step 2: Convert to fraction form
    132.42/205.03 = 205.03/x
  3. Step 3: Cross multiply
    132.42x = 205.03 × 205.03
  4. Step 4: Simplify right side
    132.42x = 42,037.81
  5. Step 5: Solve for x
    x = 42,037.81/132.42
  6. Step 6: Final answer
    x = 317.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.