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Finding the Third Proportional to 214,164.75 and 476,199.75

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Solution

The third proportional to 214,164.75 and 476,199.75 is: 1,058,839.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,164.75 : 476,199.75 = 476,199.75 : x
  2. Step 2: Convert to fraction form
    214,164.75/476,199.75 = 476,199.75/x
  3. Step 3: Cross multiply
    214,164.75x = 476,199.75 × 476,199.75
  4. Step 4: Simplify right side
    214,164.75x = 226,766,201,900.06
  5. Step 5: Solve for x
    x = 226,766,201,900.06/214,164.75
  6. Step 6: Final answer
    x = 1,058,839.99

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.