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Finding the Third Proportional to 150.47 and 326.67

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Solution

The third proportional to 150.47 and 326.67 is: 709.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.47 : 326.67 = 326.67 : x
  2. Step 2: Convert to fraction form
    150.47/326.67 = 326.67/x
  3. Step 3: Cross multiply
    150.47x = 326.67 × 326.67
  4. Step 4: Simplify right side
    150.47x = 106,714.51
  5. Step 5: Solve for x
    x = 106,714.51/150.47
  6. Step 6: Final answer
    x = 709.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.