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Finding the Third Proportional to 234.94 and 505.88

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Solution

The third proportional to 234.94 and 505.88 is: 1,089.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.94 : 505.88 = 505.88 : x
  2. Step 2: Convert to fraction form
    234.94/505.88 = 505.88/x
  3. Step 3: Cross multiply
    234.94x = 505.88 × 505.88
  4. Step 4: Simplify right side
    234.94x = 255,909.52
  5. Step 5: Solve for x
    x = 255,909.52/234.94
  6. Step 6: Final answer
    x = 1,089.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.