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Finding the Third Proportional to 152.86 and 225.49

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Solution

The third proportional to 152.86 and 225.49 is: 332.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.86 : 225.49 = 225.49 : x
  2. Step 2: Convert to fraction form
    152.86/225.49 = 225.49/x
  3. Step 3: Cross multiply
    152.86x = 225.49 × 225.49
  4. Step 4: Simplify right side
    152.86x = 50,846.73
  5. Step 5: Solve for x
    x = 50,846.73/152.86
  6. Step 6: Final answer
    x = 332.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.