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Finding the Third Proportional to 194.34 and 293.34

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Solution

The third proportional to 194.34 and 293.34 is: 442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.34 : 293.34 = 293.34 : x
  2. Step 2: Convert to fraction form
    194.34/293.34 = 293.34/x
  3. Step 3: Cross multiply
    194.34x = 293.34 × 293.34
  4. Step 4: Simplify right side
    194.34x = 86,050.56
  5. Step 5: Solve for x
    x = 86,050.56/194.34
  6. Step 6: Final answer
    x = 442.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.