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Finding the Third Proportional to 174.19 and 375.88

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Solution

The third proportional to 174.19 and 375.88 is: 811.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.19 : 375.88 = 375.88 : x
  2. Step 2: Convert to fraction form
    174.19/375.88 = 375.88/x
  3. Step 3: Cross multiply
    174.19x = 375.88 × 375.88
  4. Step 4: Simplify right side
    174.19x = 141,282.02
  5. Step 5: Solve for x
    x = 141,282.02/174.19
  6. Step 6: Final answer
    x = 811.09

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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.