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Finding the Third Proportional to 135.94 and 293.72

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Solution

The third proportional to 135.94 and 293.72 is: 634.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.94 : 293.72 = 293.72 : x
  2. Step 2: Convert to fraction form
    135.94/293.72 = 293.72/x
  3. Step 3: Cross multiply
    135.94x = 293.72 × 293.72
  4. Step 4: Simplify right side
    135.94x = 86,270.70
  5. Step 5: Solve for x
    x = 86,270.70/135.94
  6. Step 6: Final answer
    x = 634.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.