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Finding the Third Proportional to 151.83 and 225.14

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Solution

The third proportional to 151.83 and 225.14 is: 333.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.83 : 225.14 = 225.14 : x
  2. Step 2: Convert to fraction form
    151.83/225.14 = 225.14/x
  3. Step 3: Cross multiply
    151.83x = 225.14 × 225.14
  4. Step 4: Simplify right side
    151.83x = 50,688.30
  5. Step 5: Solve for x
    x = 50,688.30/151.83
  6. Step 6: Final answer
    x = 333.85

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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.