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Finding the Third Proportional to 173.71 and 253.44

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Solution

The third proportional to 173.71 and 253.44 is: 369.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.71 : 253.44 = 253.44 : x
  2. Step 2: Convert to fraction form
    173.71/253.44 = 253.44/x
  3. Step 3: Cross multiply
    173.71x = 253.44 × 253.44
  4. Step 4: Simplify right side
    173.71x = 64,232.55
  5. Step 5: Solve for x
    x = 64,232.55/173.71
  6. Step 6: Final answer
    x = 369.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.