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Finding the Third Proportional to 134.95 and 214.84

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Solution

The third proportional to 134.95 and 214.84 is: 342.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.95 : 214.84 = 214.84 : x
  2. Step 2: Convert to fraction form
    134.95/214.84 = 214.84/x
  3. Step 3: Cross multiply
    134.95x = 214.84 × 214.84
  4. Step 4: Simplify right side
    134.95x = 46,157.22
  5. Step 5: Solve for x
    x = 46,157.22/134.95
  6. Step 6: Final answer
    x = 342.03

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.