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Finding the Third Proportional to 193.50 and 293.63

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Solution

The third proportional to 193.50 and 293.63 is: 445.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.50 : 293.63 = 293.63 : x
  2. Step 2: Convert to fraction form
    193.50/293.63 = 293.63/x
  3. Step 3: Cross multiply
    193.50x = 293.63 × 293.63
  4. Step 4: Simplify right side
    193.50x = 86,215.64
  5. Step 5: Solve for x
    x = 86,215.64/193.50
  6. Step 6: Final answer
    x = 445.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.