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Finding the Third Proportional to 193.03 and 302.72

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Solution

The third proportional to 193.03 and 302.72 is: 474.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.03 : 302.72 = 302.72 : x
  2. Step 2: Convert to fraction form
    193.03/302.72 = 302.72/x
  3. Step 3: Cross multiply
    193.03x = 302.72 × 302.72
  4. Step 4: Simplify right side
    193.03x = 91,638.64
  5. Step 5: Solve for x
    x = 91,638.64/193.03
  6. Step 6: Final answer
    x = 474.73

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.