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Finding the Third Proportional to 174.94 and 304.03

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Solution

The third proportional to 174.94 and 304.03 is: 528.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.94 : 304.03 = 304.03 : x
  2. Step 2: Convert to fraction form
    174.94/304.03 = 304.03/x
  3. Step 3: Cross multiply
    174.94x = 304.03 × 304.03
  4. Step 4: Simplify right side
    174.94x = 92,435.00
  5. Step 5: Solve for x
    x = 92,435.00/174.94
  6. Step 6: Final answer
    x = 528.39

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.