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Finding the Third Proportional to 193.69 and 299.08

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Solution

The third proportional to 193.69 and 299.08 is: 461.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.69 : 299.08 = 299.08 : x
  2. Step 2: Convert to fraction form
    193.69/299.08 = 299.08/x
  3. Step 3: Cross multiply
    193.69x = 299.08 × 299.08
  4. Step 4: Simplify right side
    193.69x = 89,450.65
  5. Step 5: Solve for x
    x = 89,450.65/193.69
  6. Step 6: Final answer
    x = 461.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.