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Finding the Third Proportional to 234.84 and 505.27

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Solution

The third proportional to 234.84 and 505.27 is: 1,087.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.84 : 505.27 = 505.27 : x
  2. Step 2: Convert to fraction form
    234.84/505.27 = 505.27/x
  3. Step 3: Cross multiply
    234.84x = 505.27 × 505.27
  4. Step 4: Simplify right side
    234.84x = 255,293.35
  5. Step 5: Solve for x
    x = 255,293.35/234.84
  6. Step 6: Final answer
    x = 1,087.08

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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.