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Finding the Third Proportional to 197.06 and 293.34

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Solution

The third proportional to 197.06 and 293.34 is: 436.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.06 : 293.34 = 293.34 : x
  2. Step 2: Convert to fraction form
    197.06/293.34 = 293.34/x
  3. Step 3: Cross multiply
    197.06x = 293.34 × 293.34
  4. Step 4: Simplify right side
    197.06x = 86,050.56
  5. Step 5: Solve for x
    x = 86,050.56/197.06
  6. Step 6: Final answer
    x = 436.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.