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Finding the Third Proportional to 238.94 and 524.84

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Solution

The third proportional to 238.94 and 524.84 is: 1,152.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.94 : 524.84 = 524.84 : x
  2. Step 2: Convert to fraction form
    238.94/524.84 = 524.84/x
  3. Step 3: Cross multiply
    238.94x = 524.84 × 524.84
  4. Step 4: Simplify right side
    238.94x = 275,460.96
  5. Step 5: Solve for x
    x = 275,460.96/238.94
  6. Step 6: Final answer
    x = 1,152.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.