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Finding the Third Proportional to 207.35 and 293.94

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Solution

The third proportional to 207.35 and 293.94 is: 416.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.35 : 293.94 = 293.94 : x
  2. Step 2: Convert to fraction form
    207.35/293.94 = 293.94/x
  3. Step 3: Cross multiply
    207.35x = 293.94 × 293.94
  4. Step 4: Simplify right side
    207.35x = 86,401.55
  5. Step 5: Solve for x
    x = 86,401.55/207.35
  6. Step 6: Final answer
    x = 416.69

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.