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Finding the Third Proportional to 135 and 296.26

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Solution

The third proportional to 135 and 296.26 is: 650.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    135 : 296.26 = 296.26 : x
  2. Step 2: Convert to fraction form
    135/296.26 = 296.26/x
  3. Step 3: Cross multiply
    135x = 296.26 × 296.26
  4. Step 4: Simplify right side
    135x = 87,771.01
  5. Step 5: Solve for x
    x = 87,771.01/135
  6. Step 6: Final answer
    x = 650.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.