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Finding the Third Proportional to 74.25 and 174.94

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Solution

The third proportional to 74.25 and 174.94 is: 412.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.25 : 174.94 = 174.94 : x
  2. Step 2: Convert to fraction form
    74.25/174.94 = 174.94/x
  3. Step 3: Cross multiply
    74.25x = 174.94 × 174.94
  4. Step 4: Simplify right side
    74.25x = 30,603.13
  5. Step 5: Solve for x
    x = 30,603.13/74.25
  6. Step 6: Final answer
    x = 412.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.