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Finding the Third Proportional to 225,991 and 306,925

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Solution

The third proportional to 225,991 and 306,925 is: 416,843.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,991 : 306,925 = 306,925 : x
  2. Step 2: Convert to fraction form
    225,991/306,925 = 306,925/x
  3. Step 3: Cross multiply
    225,991x = 306,925 × 306,925
  4. Step 4: Simplify right side
    225,991x = 94,202,955,625
  5. Step 5: Solve for x
    x = 94,202,955,625/225,991
  6. Step 6: Final answer
    x = 416,843.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.