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Finding the Third Proportional to 137.74 and 221.45

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Solution

The third proportional to 137.74 and 221.45 is: 356.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.74 : 221.45 = 221.45 : x
  2. Step 2: Convert to fraction form
    137.74/221.45 = 221.45/x
  3. Step 3: Cross multiply
    137.74x = 221.45 × 221.45
  4. Step 4: Simplify right side
    137.74x = 49,039.76
  5. Step 5: Solve for x
    x = 49,039.76/137.74
  6. Step 6: Final answer
    x = 356.03

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.