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Finding the Third Proportional to 174.16 and 375.54

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Solution

The third proportional to 174.16 and 375.54 is: 809.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.16 : 375.54 = 375.54 : x
  2. Step 2: Convert to fraction form
    174.16/375.54 = 375.54/x
  3. Step 3: Cross multiply
    174.16x = 375.54 × 375.54
  4. Step 4: Simplify right side
    174.16x = 141,029.59
  5. Step 5: Solve for x
    x = 141,029.59/174.16
  6. Step 6: Final answer
    x = 809.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.