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Finding the Third Proportional to 182,560.50 and 393,207.75

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Solution

The third proportional to 182,560.50 and 393,207.75 is: 846,910.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,560.50 : 393,207.75 = 393,207.75 : x
  2. Step 2: Convert to fraction form
    182,560.50/393,207.75 = 393,207.75/x
  3. Step 3: Cross multiply
    182,560.50x = 393,207.75 × 393,207.75
  4. Step 4: Simplify right side
    182,560.50x = 154,612,334,660.06
  5. Step 5: Solve for x
    x = 154,612,334,660.06/182,560.50
  6. Step 6: Final answer
    x = 846,910.12

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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.