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Finding the Third Proportional to 152.94 and 230.84

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Solution

The third proportional to 152.94 and 230.84 is: 348.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.94 : 230.84 = 230.84 : x
  2. Step 2: Convert to fraction form
    152.94/230.84 = 230.84/x
  3. Step 3: Cross multiply
    152.94x = 230.84 × 230.84
  4. Step 4: Simplify right side
    152.94x = 53,288.84
  5. Step 5: Solve for x
    x = 53,288.84/152.94
  6. Step 6: Final answer
    x = 348.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.