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Finding the Third Proportional to 166.01 and 375.05

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Solution

The third proportional to 166.01 and 375.05 is: 847.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.01 : 375.05 = 375.05 : x
  2. Step 2: Convert to fraction form
    166.01/375.05 = 375.05/x
  3. Step 3: Cross multiply
    166.01x = 375.05 × 375.05
  4. Step 4: Simplify right side
    166.01x = 140,660.16
  5. Step 5: Solve for x
    x = 140,660.16/166.01
  6. Step 6: Final answer
    x = 847.31

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.