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Finding the Third Proportional to 152.44 and 232.45

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Solution

The third proportional to 152.44 and 232.45 is: 354.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.44 : 232.45 = 232.45 : x
  2. Step 2: Convert to fraction form
    152.44/232.45 = 232.45/x
  3. Step 3: Cross multiply
    152.44x = 232.45 × 232.45
  4. Step 4: Simplify right side
    152.44x = 54,034.46
  5. Step 5: Solve for x
    x = 54,034.46/152.44
  6. Step 6: Final answer
    x = 354.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.