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Finding the Third Proportional to 143,704.76 and 302,296.43

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Solution

The third proportional to 143,704.76 and 302,296.43 is: 635,908.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,704.76 : 302,296.43 = 302,296.43 : x
  2. Step 2: Convert to fraction form
    143,704.76/302,296.43 = 302,296.43/x
  3. Step 3: Cross multiply
    143,704.76x = 302,296.43 × 302,296.43
  4. Step 4: Simplify right side
    143,704.76x = 91,383,131,401.81
  5. Step 5: Solve for x
    x = 91,383,131,401.81/143,704.76
  6. Step 6: Final answer
    x = 635,908.88

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.