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Finding the Third Proportional to 199.43 and 293.37

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Solution

The third proportional to 199.43 and 293.37 is: 431.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.43 : 293.37 = 293.37 : x
  2. Step 2: Convert to fraction form
    199.43/293.37 = 293.37/x
  3. Step 3: Cross multiply
    199.43x = 293.37 × 293.37
  4. Step 4: Simplify right side
    199.43x = 86,064.31
  5. Step 5: Solve for x
    x = 86,064.31/199.43
  6. Step 6: Final answer
    x = 431.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.