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Finding the Third Proportional to 155.43 and 233.53

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Solution

The third proportional to 155.43 and 233.53 is: 350.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.43 : 233.53 = 233.53 : x
  2. Step 2: Convert to fraction form
    155.43/233.53 = 233.53/x
  3. Step 3: Cross multiply
    155.43x = 233.53 × 233.53
  4. Step 4: Simplify right side
    155.43x = 54,538.21
  5. Step 5: Solve for x
    x = 54,538.21/155.43
  6. Step 6: Final answer
    x = 350.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.