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Finding the Third Proportional to 171.14 and 373.72

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Solution

The third proportional to 171.14 and 373.72 is: 816.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.14 : 373.72 = 373.72 : x
  2. Step 2: Convert to fraction form
    171.14/373.72 = 373.72/x
  3. Step 3: Cross multiply
    171.14x = 373.72 × 373.72
  4. Step 4: Simplify right side
    171.14x = 139,663.15
  5. Step 5: Solve for x
    x = 139,663.15/171.14
  6. Step 6: Final answer
    x = 816.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.