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Finding the Third Proportional to 134.60 and 290.70

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Solution

The third proportional to 134.60 and 290.70 is: 627.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.60 : 290.70 = 290.70 : x
  2. Step 2: Convert to fraction form
    134.60/290.70 = 290.70/x
  3. Step 3: Cross multiply
    134.60x = 290.70 × 290.70
  4. Step 4: Simplify right side
    134.60x = 84,503.76
  5. Step 5: Solve for x
    x = 84,503.76/134.60
  6. Step 6: Final answer
    x = 627.81

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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.