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Finding the Third Proportional to 131,741.44 and 283,463.30

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Solution

The third proportional to 131,741.44 and 283,463.30 is: 609,917.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,741.44 : 283,463.30 = 283,463.30 : x
  2. Step 2: Convert to fraction form
    131,741.44/283,463.30 = 283,463.30/x
  3. Step 3: Cross multiply
    131,741.44x = 283,463.30 × 283,463.30
  4. Step 4: Simplify right side
    131,741.44x = 80,351,440,675.24
  5. Step 5: Solve for x
    x = 80,351,440,675.24/131,741.44
  6. Step 6: Final answer
    x = 609,917.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.