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Finding the Third Proportional to 175.41 and 454.27

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Solution

The third proportional to 175.41 and 454.27 is: 1,176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.41 : 454.27 = 454.27 : x
  2. Step 2: Convert to fraction form
    175.41/454.27 = 454.27/x
  3. Step 3: Cross multiply
    175.41x = 454.27 × 454.27
  4. Step 4: Simplify right side
    175.41x = 206,357.26
  5. Step 5: Solve for x
    x = 206,357.26/175.41
  6. Step 6: Final answer
    x = 1,176.45

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.