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Finding the Third Proportional to 175.41 and 254.91

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Solution

The third proportional to 175.41 and 254.91 is: 370.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.41 : 254.91 = 254.91 : x
  2. Step 2: Convert to fraction form
    175.41/254.91 = 254.91/x
  3. Step 3: Cross multiply
    175.41x = 254.91 × 254.91
  4. Step 4: Simplify right side
    175.41x = 64,977.20
  5. Step 5: Solve for x
    x = 64,977.20/175.41
  6. Step 6: Final answer
    x = 370.44

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.