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Finding the Third Proportional to 150.68 and 233.65

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Solution

The third proportional to 150.68 and 233.65 is: 362.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.68 : 233.65 = 233.65 : x
  2. Step 2: Convert to fraction form
    150.68/233.65 = 233.65/x
  3. Step 3: Cross multiply
    150.68x = 233.65 × 233.65
  4. Step 4: Simplify right side
    150.68x = 54,591.59
  5. Step 5: Solve for x
    x = 54,591.59/150.68
  6. Step 6: Final answer
    x = 362.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.