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Finding the Third Proportional to 231,497 and 347,861.75

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Solution

The third proportional to 231,497 and 347,861.75 is: 522,718.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,497 : 347,861.75 = 347,861.75 : x
  2. Step 2: Convert to fraction form
    231,497/347,861.75 = 347,861.75/x
  3. Step 3: Cross multiply
    231,497x = 347,861.75 × 347,861.75
  4. Step 4: Simplify right side
    231,497x = 121,007,797,113.06
  5. Step 5: Solve for x
    x = 121,007,797,113.06/231,497
  6. Step 6: Final answer
    x = 522,718.64

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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.