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Finding the Third Proportional to 262.83 and 342.14

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Solution

The third proportional to 262.83 and 342.14 is: 445.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.83 : 342.14 = 342.14 : x
  2. Step 2: Convert to fraction form
    262.83/342.14 = 342.14/x
  3. Step 3: Cross multiply
    262.83x = 342.14 × 342.14
  4. Step 4: Simplify right side
    262.83x = 117,060.21
  5. Step 5: Solve for x
    x = 117,060.21/262.83
  6. Step 6: Final answer
    x = 445.39

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.