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Finding the Third Proportional to 115,906.50 and 253,955.25

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Solution

The third proportional to 115,906.50 and 253,955.25 is: 556,424.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,906.50 : 253,955.25 = 253,955.25 : x
  2. Step 2: Convert to fraction form
    115,906.50/253,955.25 = 253,955.25/x
  3. Step 3: Cross multiply
    115,906.50x = 253,955.25 × 253,955.25
  4. Step 4: Simplify right side
    115,906.50x = 64,493,269,002.56
  5. Step 5: Solve for x
    x = 64,493,269,002.56/115,906.50
  6. Step 6: Final answer
    x = 556,424.95

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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.