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Finding the Third Proportional to 174.42 and 375.55

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Solution

The third proportional to 174.42 and 375.55 is: 808.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.42 : 375.55 = 375.55 : x
  2. Step 2: Convert to fraction form
    174.42/375.55 = 375.55/x
  3. Step 3: Cross multiply
    174.42x = 375.55 × 375.55
  4. Step 4: Simplify right side
    174.42x = 141,036.19
  5. Step 5: Solve for x
    x = 141,036.19/174.42
  6. Step 6: Final answer
    x = 808.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.