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Finding the Third Proportional to 231,436.13 and 347,153.63

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Solution

The third proportional to 231,436.13 and 347,153.63 is: 520,729.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,436.13 : 347,153.63 = 347,153.63 : x
  2. Step 2: Convert to fraction form
    231,436.13/347,153.63 = 347,153.63/x
  3. Step 3: Cross multiply
    231,436.13x = 347,153.63 × 347,153.63
  4. Step 4: Simplify right side
    231,436.13x = 120,515,639,350.64
  5. Step 5: Solve for x
    x = 120,515,639,350.64/231,436.13
  6. Step 6: Final answer
    x = 520,729.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.