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Finding the Third Proportional to 214,526 and 321,374

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Solution

The third proportional to 214,526 and 321,374 is: 481,439.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,526 : 321,374 = 321,374 : x
  2. Step 2: Convert to fraction form
    214,526/321,374 = 321,374/x
  3. Step 3: Cross multiply
    214,526x = 321,374 × 321,374
  4. Step 4: Simplify right side
    214,526x = 103,281,247,876
  5. Step 5: Solve for x
    x = 103,281,247,876/214,526
  6. Step 6: Final answer
    x = 481,439.30

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