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Finding the Third Proportional to 113,180.25 and 247,094.25

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Solution

The third proportional to 113,180.25 and 247,094.25 is: 539,454.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,180.25 : 247,094.25 = 247,094.25 : x
  2. Step 2: Convert to fraction form
    113,180.25/247,094.25 = 247,094.25/x
  3. Step 3: Cross multiply
    113,180.25x = 247,094.25 × 247,094.25
  4. Step 4: Simplify right side
    113,180.25x = 61,055,568,383.06
  5. Step 5: Solve for x
    x = 61,055,568,383.06/113,180.25
  6. Step 6: Final answer
    x = 539,454.26

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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.