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Finding the Third Proportional to 193.64 and 335.55

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Solution

The third proportional to 193.64 and 335.55 is: 581.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.64 : 335.55 = 335.55 : x
  2. Step 2: Convert to fraction form
    193.64/335.55 = 335.55/x
  3. Step 3: Cross multiply
    193.64x = 335.55 × 335.55
  4. Step 4: Simplify right side
    193.64x = 112,593.02
  5. Step 5: Solve for x
    x = 112,593.02/193.64
  6. Step 6: Final answer
    x = 581.45

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.