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Finding the Third Proportional to 214,643.25 and 466,161.75

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Solution

The third proportional to 214,643.25 and 466,161.75 is: 1,012,409.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,643.25 : 466,161.75 = 466,161.75 : x
  2. Step 2: Convert to fraction form
    214,643.25/466,161.75 = 466,161.75/x
  3. Step 3: Cross multiply
    214,643.25x = 466,161.75 × 466,161.75
  4. Step 4: Simplify right side
    214,643.25x = 217,306,777,163.06
  5. Step 5: Solve for x
    x = 217,306,777,163.06/214,643.25
  6. Step 6: Final answer
    x = 1,012,409.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.