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Finding the Third Proportional to 113,917 and 263,726

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Solution

The third proportional to 113,917 and 263,726 is: 610,544.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,917 : 263,726 = 263,726 : x
  2. Step 2: Convert to fraction form
    113,917/263,726 = 263,726/x
  3. Step 3: Cross multiply
    113,917x = 263,726 × 263,726
  4. Step 4: Simplify right side
    113,917x = 69,551,403,076
  5. Step 5: Solve for x
    x = 69,551,403,076/113,917
  6. Step 6: Final answer
    x = 610,544.55

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.