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Finding the Third Proportional to 150.05 and 328.15

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Solution

The third proportional to 150.05 and 328.15 is: 717.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.05 : 328.15 = 328.15 : x
  2. Step 2: Convert to fraction form
    150.05/328.15 = 328.15/x
  3. Step 3: Cross multiply
    150.05x = 328.15 × 328.15
  4. Step 4: Simplify right side
    150.05x = 107,681.40
  5. Step 5: Solve for x
    x = 107,681.40/150.05
  6. Step 6: Final answer
    x = 717.65

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