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Finding the Third Proportional to 134.54 and 290.60

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Solution

The third proportional to 134.54 and 290.60 is: 627.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.54 : 290.60 = 290.60 : x
  2. Step 2: Convert to fraction form
    134.54/290.60 = 290.60/x
  3. Step 3: Cross multiply
    134.54x = 290.60 × 290.60
  4. Step 4: Simplify right side
    134.54x = 84,449.27
  5. Step 5: Solve for x
    x = 84,449.27/134.54
  6. Step 6: Final answer
    x = 627.68

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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.