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Finding the Third Proportional to 119.34 and 263.34

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Solution

The third proportional to 119.34 and 263.34 is: 581.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.34 : 263.34 = 263.34 : x
  2. Step 2: Convert to fraction form
    119.34/263.34 = 263.34/x
  3. Step 3: Cross multiply
    119.34x = 263.34 × 263.34
  4. Step 4: Simplify right side
    119.34x = 69,349.93
  5. Step 5: Solve for x
    x = 69,349.93/119.34
  6. Step 6: Final answer
    x = 581.09

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.