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Finding the Third Proportional to 214,107.75 and 466,346.25

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Solution

The third proportional to 214,107.75 and 466,346.25 is: 1,015,744.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,107.75 : 466,346.25 = 466,346.25 : x
  2. Step 2: Convert to fraction form
    214,107.75/466,346.25 = 466,346.25/x
  3. Step 3: Cross multiply
    214,107.75x = 466,346.25 × 466,346.25
  4. Step 4: Simplify right side
    214,107.75x = 217,478,824,889.06
  5. Step 5: Solve for x
    x = 217,478,824,889.06/214,107.75
  6. Step 6: Final answer
    x = 1,015,744.76

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.