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Finding the Third Proportional to 214,512 and 321,354

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Solution

The third proportional to 214,512 and 321,354 is: 481,410.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,512 : 321,354 = 321,354 : x
  2. Step 2: Convert to fraction form
    214,512/321,354 = 321,354/x
  3. Step 3: Cross multiply
    214,512x = 321,354 × 321,354
  4. Step 4: Simplify right side
    214,512x = 103,268,393,316
  5. Step 5: Solve for x
    x = 103,268,393,316/214,512
  6. Step 6: Final answer
    x = 481,410.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.