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Finding the Third Proportional to 117,588.75 and 257,694.75

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Solution

The third proportional to 117,588.75 and 257,694.75 is: 564,735.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,588.75 : 257,694.75 = 257,694.75 : x
  2. Step 2: Convert to fraction form
    117,588.75/257,694.75 = 257,694.75/x
  3. Step 3: Cross multiply
    117,588.75x = 257,694.75 × 257,694.75
  4. Step 4: Simplify right side
    117,588.75x = 66,406,584,177.56
  5. Step 5: Solve for x
    x = 66,406,584,177.56/117,588.75
  6. Step 6: Final answer
    x = 564,735.86

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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.