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Finding the Third Proportional to 199.13 and 319.31

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Solution

The third proportional to 199.13 and 319.31 is: 512.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.13 : 319.31 = 319.31 : x
  2. Step 2: Convert to fraction form
    199.13/319.31 = 319.31/x
  3. Step 3: Cross multiply
    199.13x = 319.31 × 319.31
  4. Step 4: Simplify right side
    199.13x = 101,960.47
  5. Step 5: Solve for x
    x = 101,960.47/199.13
  6. Step 6: Final answer
    x = 512.04

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.