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Finding the Third Proportional to 193.13 and 310.69

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Solution

The third proportional to 193.13 and 310.69 is: 499.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.13 : 310.69 = 310.69 : x
  2. Step 2: Convert to fraction form
    193.13/310.69 = 310.69/x
  3. Step 3: Cross multiply
    193.13x = 310.69 × 310.69
  4. Step 4: Simplify right side
    193.13x = 96,526.72
  5. Step 5: Solve for x
    x = 96,526.72/193.13
  6. Step 6: Final answer
    x = 499.81

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.