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Finding the Third Proportional to 263.81 and 345.09

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Solution

The third proportional to 263.81 and 345.09 is: 451.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.81 : 345.09 = 345.09 : x
  2. Step 2: Convert to fraction form
    263.81/345.09 = 345.09/x
  3. Step 3: Cross multiply
    263.81x = 345.09 × 345.09
  4. Step 4: Simplify right side
    263.81x = 119,089.70
  5. Step 5: Solve for x
    x = 119,089.70/263.81
  6. Step 6: Final answer
    x = 451.42

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.