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Finding the Third Proportional to 193.88 and 290.63

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Solution

The third proportional to 193.88 and 290.63 is: 435.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.88 : 290.63 = 290.63 : x
  2. Step 2: Convert to fraction form
    193.88/290.63 = 290.63/x
  3. Step 3: Cross multiply
    193.88x = 290.63 × 290.63
  4. Step 4: Simplify right side
    193.88x = 84,462.89
  5. Step 5: Solve for x
    x = 84,462.89/193.88
  6. Step 6: Final answer
    x = 435.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.