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Finding the Third Proportional to 214.50 and 308.63

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Solution

The third proportional to 214.50 and 308.63 is: 444.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.50 : 308.63 = 308.63 : x
  2. Step 2: Convert to fraction form
    214.50/308.63 = 308.63/x
  3. Step 3: Cross multiply
    214.50x = 308.63 × 308.63
  4. Step 4: Simplify right side
    214.50x = 95,249.39
  5. Step 5: Solve for x
    x = 95,249.39/214.50
  6. Step 6: Final answer
    x = 444.05

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.