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Finding the Third Proportional to 122.34 and 262.41

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Solution

The third proportional to 122.34 and 262.41 is: 562.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.34 : 262.41 = 262.41 : x
  2. Step 2: Convert to fraction form
    122.34/262.41 = 262.41/x
  3. Step 3: Cross multiply
    122.34x = 262.41 × 262.41
  4. Step 4: Simplify right side
    122.34x = 68,857.04
  5. Step 5: Solve for x
    x = 68,857.04/122.34
  6. Step 6: Final answer
    x = 562.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.