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Finding the Third Proportional to 135.56 and 301.36

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Solution

The third proportional to 135.56 and 301.36 is: 669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.56 : 301.36 = 301.36 : x
  2. Step 2: Convert to fraction form
    135.56/301.36 = 301.36/x
  3. Step 3: Cross multiply
    135.56x = 301.36 × 301.36
  4. Step 4: Simplify right side
    135.56x = 90,817.47
  5. Step 5: Solve for x
    x = 90,817.47/135.56
  6. Step 6: Final answer
    x = 669.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.