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Finding the Third Proportional to 214.63 and 459.62

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Solution

The third proportional to 214.63 and 459.62 is: 984.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.63 : 459.62 = 459.62 : x
  2. Step 2: Convert to fraction form
    214.63/459.62 = 459.62/x
  3. Step 3: Cross multiply
    214.63x = 459.62 × 459.62
  4. Step 4: Simplify right side
    214.63x = 211,247.96
  5. Step 5: Solve for x
    x = 211,247.96/214.63
  6. Step 6: Final answer
    x = 984.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.