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Finding the Third Proportional to 261,832.50 and 400,361.48

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Solution

The third proportional to 261,832.50 and 400,361.48 is: 612,182.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,832.50 : 400,361.48 = 400,361.48 : x
  2. Step 2: Convert to fraction form
    261,832.50/400,361.48 = 400,361.48/x
  3. Step 3: Cross multiply
    261,832.50x = 400,361.48 × 400,361.48
  4. Step 4: Simplify right side
    261,832.50x = 160,289,318,170.95
  5. Step 5: Solve for x
    x = 160,289,318,170.95/261,832.50
  6. Step 6: Final answer
    x = 612,182.67

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.