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Finding the Third Proportional to 207.42 and 330.12

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Solution

The third proportional to 207.42 and 330.12 is: 525.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.42 : 330.12 = 330.12 : x
  2. Step 2: Convert to fraction form
    207.42/330.12 = 330.12/x
  3. Step 3: Cross multiply
    207.42x = 330.12 × 330.12
  4. Step 4: Simplify right side
    207.42x = 108,977.36
  5. Step 5: Solve for x
    x = 108,977.36/207.42
  6. Step 6: Final answer
    x = 525.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.