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Finding the Third Proportional to 150.09 and 328.03

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Solution

The third proportional to 150.09 and 328.03 is: 716.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.09 : 328.03 = 328.03 : x
  2. Step 2: Convert to fraction form
    150.09/328.03 = 328.03/x
  3. Step 3: Cross multiply
    150.09x = 328.03 × 328.03
  4. Step 4: Simplify right side
    150.09x = 107,604.50
  5. Step 5: Solve for x
    x = 107,604.50/150.09
  6. Step 6: Final answer
    x = 716.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.