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Finding the Third Proportional to 150.14 and 326.58

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Solution

The third proportional to 150.14 and 326.58 is: 710.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.14 : 326.58 = 326.58 : x
  2. Step 2: Convert to fraction form
    150.14/326.58 = 326.58/x
  3. Step 3: Cross multiply
    150.14x = 326.58 × 326.58
  4. Step 4: Simplify right side
    150.14x = 106,653.27
  5. Step 5: Solve for x
    x = 106,653.27/150.14
  6. Step 6: Final answer
    x = 710.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.