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Finding the Third Proportional to 122.44 and 271.88

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Solution

The third proportional to 122.44 and 271.88 is: 603.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.44 : 271.88 = 271.88 : x
  2. Step 2: Convert to fraction form
    122.44/271.88 = 271.88/x
  3. Step 3: Cross multiply
    122.44x = 271.88 × 271.88
  4. Step 4: Simplify right side
    122.44x = 73,916.02
  5. Step 5: Solve for x
    x = 73,916.02/122.44
  6. Step 6: Final answer
    x = 603.70

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.