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Finding the Third Proportional to 254,418.75 and 345,521.25

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Solution

The third proportional to 254,418.75 and 345,521.25 is: 469,245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,418.75 : 345,521.25 = 345,521.25 : x
  2. Step 2: Convert to fraction form
    254,418.75/345,521.25 = 345,521.25/x
  3. Step 3: Cross multiply
    254,418.75x = 345,521.25 × 345,521.25
  4. Step 4: Simplify right side
    254,418.75x = 119,384,934,201.56
  5. Step 5: Solve for x
    x = 119,384,934,201.56/254,418.75
  6. Step 6: Final answer
    x = 469,245.82

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