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Finding the Third Proportional to 150.56 and 328.59

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Solution

The third proportional to 150.56 and 328.59 is: 717.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.56 : 328.59 = 328.59 : x
  2. Step 2: Convert to fraction form
    150.56/328.59 = 328.59/x
  3. Step 3: Cross multiply
    150.56x = 328.59 × 328.59
  4. Step 4: Simplify right side
    150.56x = 107,973.85
  5. Step 5: Solve for x
    x = 107,973.85/150.56
  6. Step 6: Final answer
    x = 717.14

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