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Finding the Third Proportional to 134.97 and 293.94

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Solution

The third proportional to 134.97 and 293.94 is: 640.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.97 : 293.94 = 293.94 : x
  2. Step 2: Convert to fraction form
    134.97/293.94 = 293.94/x
  3. Step 3: Cross multiply
    134.97x = 293.94 × 293.94
  4. Step 4: Simplify right side
    134.97x = 86,399.25
  5. Step 5: Solve for x
    x = 86,399.25/134.97
  6. Step 6: Final answer
    x = 640.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.