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Finding the Third Proportional to 214.78 and 445.78

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Solution

The third proportional to 214.78 and 445.78 is: 925.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.78 : 445.78 = 445.78 : x
  2. Step 2: Convert to fraction form
    214.78/445.78 = 445.78/x
  3. Step 3: Cross multiply
    214.78x = 445.78 × 445.78
  4. Step 4: Simplify right side
    214.78x = 198,720.92
  5. Step 5: Solve for x
    x = 198,720.92/214.78
  6. Step 6: Final answer
    x = 925.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.