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Finding the Third Proportional to 214 and 295.25

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Solution

The third proportional to 214 and 295.25 is: 407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214 : 295.25 = 295.25 : x
  2. Step 2: Convert to fraction form
    214/295.25 = 295.25/x
  3. Step 3: Cross multiply
    214x = 295.25 × 295.25
  4. Step 4: Simplify right side
    214x = 87,172.56
  5. Step 5: Solve for x
    x = 87,172.56/214
  6. Step 6: Final answer
    x = 407.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.