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Finding the Third Proportional to 174.75 and 407.06

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Solution

The third proportional to 174.75 and 407.06 is: 948.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.75 : 407.06 = 407.06 : x
  2. Step 2: Convert to fraction form
    174.75/407.06 = 407.06/x
  3. Step 3: Cross multiply
    174.75x = 407.06 × 407.06
  4. Step 4: Simplify right side
    174.75x = 165,699.88
  5. Step 5: Solve for x
    x = 165,699.88/174.75
  6. Step 6: Final answer
    x = 948.21

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.