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Finding the Third Proportional to 214.42 and 452.46

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Solution

The third proportional to 214.42 and 452.46 is: 954.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.42 : 452.46 = 452.46 : x
  2. Step 2: Convert to fraction form
    214.42/452.46 = 452.46/x
  3. Step 3: Cross multiply
    214.42x = 452.46 × 452.46
  4. Step 4: Simplify right side
    214.42x = 204,720.90
  5. Step 5: Solve for x
    x = 204,720.90/214.42
  6. Step 6: Final answer
    x = 954.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.