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Finding the Third Proportional to 117,591.75 and 257,700.75

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Solution

The third proportional to 117,591.75 and 257,700.75 is: 564,747.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,591.75 : 257,700.75 = 257,700.75 : x
  2. Step 2: Convert to fraction form
    117,591.75/257,700.75 = 257,700.75/x
  3. Step 3: Cross multiply
    117,591.75x = 257,700.75 × 257,700.75
  4. Step 4: Simplify right side
    117,591.75x = 66,409,676,550.56
  5. Step 5: Solve for x
    x = 66,409,676,550.56/117,591.75
  6. Step 6: Final answer
    x = 564,747.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.