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Finding the Third Proportional to 117,273.50 and 256,055.50

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Solution

The third proportional to 117,273.50 and 256,055.50 is: 559,072.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,273.50 : 256,055.50 = 256,055.50 : x
  2. Step 2: Convert to fraction form
    117,273.50/256,055.50 = 256,055.50/x
  3. Step 3: Cross multiply
    117,273.50x = 256,055.50 × 256,055.50
  4. Step 4: Simplify right side
    117,273.50x = 65,564,419,080.25
  5. Step 5: Solve for x
    x = 65,564,419,080.25/117,273.50
  6. Step 6: Final answer
    x = 559,072.76

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.